Explain how multiplying fractions and dividing fractions are alike and how they are different. ​

Answers

Answer 1

Answer:

Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).

Step-by-step explanation:

Example:

[tex]\frac{3}{4} * \frac{1}{5} = \frac{3}{20}[/tex]

[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{5} = \frac{3}{4} * \frac{5}{1} = \frac{15}{4}[/tex]


Related Questions

How to solve
2(-3x + 4) = 5x + 2

Answers

Answer:

x = 6/11

Step-by-step explanation:

2(-3x + 4 ) = 5x + 2  

    -6x + 8 = 5x + 2      

           - 2          - 2

    -6x + 6 = 5x

   +6x         +6x

             6 = 11x

            /11   /11

           6/11 = x

The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centimeters, what is the length of the base, in centimeters?

Answers

Answer:

The base is 24 cm long.

Step-by-step explanation:

Equations

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

[tex]\displaystyle A=\frac{bh}{2}[/tex]

[tex]\displaystyle A=\frac{(h+9)h}{2}[/tex]

And its value is 180:

[tex]\displaystyle \frac{(h+9)h}{2}=180[/tex]

Multiplying by 2:

[tex](h+9)h=360[/tex]

Operating:

[tex]h^2+9h-360=0[/tex]

Factoring:

[tex](h-15)(h+24)=0[/tex]

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

E 4) In the diagram below, the dimensions of the large rectangle are (3x-1) by (3x+7) units. The dimensions of the cut-out rectangle are x by (2x+5) units. Which choice expresses the area of the shaded region, in Square units? ​

Answers

Answer:

Option (D)

Step-by-step explanation:

Area of a rectangle = Length × width

Area of large rectangle = (3x - 1)(3x + 7) square units

                                       = (9x² + 21x - 3x - 7)

                                       = 9x² + 18x - 7

Area of small rectangle = (2x + 5)x

                                       = (2x² + 5x) square units

Area of the shaded region = Area of large rectangle - Area of small rectangle

= (9x²+ 18x - 7) - (2x² + 5x)

= (9x² - 2x²) + (18x - 5x) - 7

= (7x² + 13x - 7) square units

Therefore, Option (D) will be the correct option.

The expression that represents the area of the shaded region is:[tex]7x\² + 13x - 7[/tex]

The dimension of the big rectangle is given as:

Length: 3x - 1Width: 3x + 7

So, the area of the rectangle is:

[tex]Area = Length \times Width[/tex]

[tex]Area= (3x - 1) \times (3x + 7)[/tex]

Expand

[tex]Area = 9x\² + 21x - 3x - 7[/tex]

[tex]Area = 9x\² + 18x - 7[/tex]

The dimension of the small rectangle is given as:

Length: 2x + 5Width: x

So, the area of the rectangle is:

[tex]Area = Length \times Width[/tex]

[tex]Area= (2x + 5) \times x[/tex]

Expand

[tex]Area = 2x\² + 5[/tex]

The area of the shaded region is the difference between the area of the big and small rectangles.

So, we have:

[tex]Area = (9x\²+ 18x - 7) - (2x\² + 5x)[/tex]

Expand, and collect like terms

[tex]Area = 9x\²- 2x\² + 18x -5x- 7[/tex]

[tex]Area = 7x\² + 13x - 7[/tex]

Hence, the area of the shaded region is [tex]7x\² + 13x - 7[/tex]

Read more about areas at:

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What is the formula for the area of a square?

Answers

Answer:

Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches. (Square inches can also be written in2.)

Answer:

lxwxtor you can up it in the calculator

When dividing 39,100 by 100, the digits in the quotient will move how many places to the right?


When dividing 810,000 by 1,000, the digits in the quotient will move how many places to the right?


When dividing 360 by 10, the digits in the quotient will move how many places to the right?

Answers

Answer:

1. 2 places. 2. 3 places. 3. 1 place.

Step-by-step explanation:

1. Since there is 2 zeroes in 100, you move the digits 2 places to the right.

2. The same thing happens here, but with 3 zeroes.

3. The same happens, but with 1 zero.

Pls ASAP solve this question

Answers

answer:

ii- 7

iii- 5

Step-by-step explanation:

sorry if its wrong im not for sure

CAN SOMEONE PLEASE HELP ME ON THIS!!?

Answers

Answer:

w = 3.5

Step-by-step explanation:

g(x) = 5x h(x) = - 11x ^ 3 + 10x ^ 2 - 2x + 5

Answers

Answer:

x(9x – 10).

Step-by-step explanation:

google

The amount $3.80 is 4% of what price?

Answers

Answer:

$95

Step-by-step explanation:

3.8=4%

100÷4=25

3.8×25

If it i´snt correct sorry :(

Answer:

$3.80 is 4% of $95.

Step-by-step explanation:

To solve this problem, divide 3.8 by 0.04.

3.8 / 0.04 = 95.

To check your math, multiply 95 by 0.04.

95 x 0.04 = 3.8

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

25 students are working in groups on a science project age group can have either two or three students in it what is the fewest number of groups there could be ​

Answers

Answer:

I believe 9

Step-by-step explanation:

25-21=4 (21 is 7×3)

4-4=0 (2×2)

The fewest number of groups are 9.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

25 students are working in groups on a science project, age group can have either two or three students in it.

To find the fewest number of groups:

25 divided by 3 we get remainder 1.

But 1 student can not form a group.

So, we have to find the remainder number that can form a group or groups.

25 divided by 3,

we get quotient 7 and 4 remainder.

And 4 means, 2 groups of 2 students in each.

That means, the number of groups are 7+2 = 9

Therefore, 9 is the required number.

To learn more about the division;

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Given:x+=9 prove x=4

Answers

Reasonable Answer:

If x is 4, then the answer is 13 or 5.

Step-by-step explanation:

 9-4=5

For another reason it's 13.

4 minus 13 =9

~~~Hope this helps~~~:)

Write the slope-intercept form of the equation for a line with slope 1/3 and y l-intercept at (0,-2/5

Answers

Answer:

y=1/3x-2/5

Step-by-step explanation:

a box can hold 3 1/3 pounds of gold a chest can hold 2 3/5 times the amount of the box. how many pounds can the chest hold​

Answers

Answer:

[tex]\frac{26}{3}[/tex]pounds

Step-by-step explanation:

Given parameters:

 Mass of gold in the chest box = [tex]3\frac{1}{3}[/tex]pounds

 

Unknown:

Number of pounds of gold the chest can hold = ?

Solution:

The chest can hold [tex]2\frac{3}{5}[/tex]times the amount of the box ;

So;

 Number of pounds of the gold in the chest can hold;

        =  [tex]2\frac{3}{5}[/tex] times  x Mass of gold in the chest box

        = [tex]\frac{13}{5}[/tex] x [tex]\frac{10}{3}[/tex]

        = [tex]\frac{26}{3}[/tex]pounds

I put it at 50 pts because it will take a while plz help me

Answers

Answer:

well i am not that smart sorry i really wish i could help but i know one of the things  

Step-by-step explanation:

3. what causes wind

Gases move from high-pressure areas to low-pressure areas. And the bigger the difference between the pressures, the faster the air will move from the high to the low pressure. That rush of air is the wind we experience.

sorry it took so long for me to type it

hope you have a good day sir/ma'am!!!

There are ten toppings available to make an ice
cream sundae. How many ways can Max choose
two?

Answers

Answer:

There will be 56 possible combinations if he is allowed to choose the same topping twice.

There will be 47 if he is not allowed to choose the same topping twice.

Step-by-step explanation:

Number of ways max choose two are 45

What are combinations?

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of both the selection is irrelevant. You can choose the components of combos in any order;

Permutations and combinations can be mixed up. The sequence in which the chosen components are chosen is crucial in permutations, too. For instance, the configurations ab and ba are distinct in permutations but equivalent in combinations (regarded as one arrangement);

Given;

Toppings available to make an ice cream sundae = 10

The  number of ways can Max choose 2;

= 10C2

=10! / [(10-2)! X 2!]

=45

Therefore, Max can choose toppings is 45 by combination

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A manufacturer wants to produce an ice cream cone with the same volume and diameter of a spherical scoop of ice cream 6cm in diameter. What should the height of the cone be?

Answers

Answer:

IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?

Step-by-step explanation:

IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?

Answer: HEY NIKHIL GARG MR. FORTNITE BATTLE ROYALE THE ANSWER IS 12

Step-by-step explanation:

TRUST BRO IF THE HEIGHT IS 12 THEN ITLL HAVE THE SAME VOLUME AS THE SPHERE, WHICH IS 36 PI

what is the difference of the fractions? use the number line to help find the answers. 4/7 - 10/7​

Answers

Answer:

This means that the fraction 3/4 is 3 out of 4 equal parts. So, count 3 parts from 0 and you will get 3/4. That's it! You've shown the fractions 1/4 and 3/4 on a number line!

Step-by-step explanation:

It is.

Answer:

This means that the fraction 3/4 is 3 out of 4 equal parts. So, count 3 parts from 0 and you will get 3/4. That's it! You've shown the fractions 1/4 and 3/4 on a number line!

Step-by-step explanation:

The math is just correct

How do you get from one number to the next using multiplication or division?
From 100 to 106
From 100 to 90
From 90 to 100
From 106 to 100

Answers

Answer:

You use decimal values. Like for the first one, multiply 100 by 0.01.

Step-by-step explanation:

The multiplication or division is 10^6/10^4

How to interpret integral multiplication?

Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b

Then, their multiplication can be interpreted as:

[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]

For example,

[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]

Given;

From 100 to 10^6;

100 * 10^4  = 10^6

From 100 to 90;

100/10*9=90

From 90 to 100

90/9*10=100

From 10^6 to 100

10^6/10^4=100

Therefore, by multiplication or division will be 10^6/10^4

Learn more about multiplication here:

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can someone help please

Answers

Answer: m<10 less than 10 is the answer so it would be m<10

Step-by-step explanation:

Solve for x
2x+5 = 32

Answers

Answer:

x=13.5

Step-by-step explanation:

Perform the same operation on each side:

2x+5 = 32

2x     = 27

x       = 13.5

So, x is 13.5

Find the value of a and b in the following = a + b​

Answers

what is the question??

3.55. Постройте график линейной функции:
1) у = 2/3х – 4;
2) y = 2x + 6;
3) у = -1,5х – 3;
4) y = -1/2x + 1;
5) y = 5/3x - 2;
6) y = -4/3x + 2;

Answers

Answer:

4) y = -1/2x + 1;

Step-by-step explanation:

maybe

or maybe not

Determine each missing number.

a) 25% of 84 = ■

b) 24% of 200 = ■

c) 10% of ■ = 5

Fil in the squares please!!

Answers

Step-by-step explanation:

a. 25% of 84  = ?

         To solve this problem;

         [tex]\frac{25}{100}[/tex] x 84

    25 goes in 100,  4 times

 = [tex]\frac{1}{4}[/tex] x 84

 = 21

b. [tex]\frac{24}{100}[/tex] x 200  = ?

    100 goes in 200 , 2 times

    24 x 2  = 48

c. [tex]\frac{10}{100}[/tex] of t  = 5

         [tex]\frac{10}{100}[/tex] x  t = 5

          [tex]\frac{t}{10}[/tex]  = 5

           t  = 50

   

Two points are selected randomly on a line of length 32 so as to be on opposite sides of the midpoint of the line. In other words, the two points X and Y are independent random variables such that X is uniformly distributed over [0,16) and Y is uniformly distributed over (16,32]. Find the probability that the distance between the two points is greater than 9.

Answers

Solution :

Let us consider the squares be [tex]$[1, 16] \times [16, 32]$[/tex]

If x ranges from the 0 to 16 and the y ranges from 16 to 32, we see that the boundary of the region[tex]$y-x \geq 9 \text{\ is}\ y - x = 9$[/tex]  which goes from the [tex]$(7, 16 ) \text{ to}\ (16, 25) $[/tex].

And so it is easier to find the area of region where [tex]$ y-x \leq 9$[/tex]. This is the triangle with points [tex]$(7,16),(16,25) \text{ and}\ (16,16)$[/tex] as its vertices.

The area if the triangle is =  [tex]$\frac{1}{2} \times 9 \times 9$[/tex]

                                         = [tex]$\frac{81}{2}$[/tex]

Now the entire area is [tex]$(16)^2$[/tex]  = 256

Then, [tex]$P(y-x \leq 9) = \frac{81/2}{256} =\frac{81}{512}$[/tex]

or [tex]$P(y-x \geq 9) = 1 - \frac{81}{512}=\frac{431}{512}$[/tex]

Thus the answer is [tex]$\frac{431}{512}$[/tex]

Compare the degree of a polynomial and its depressed polynomial.

Answers

Answer:

The degree of a polynomial is one more than the degree of its depressed polynomial.

Step-by-step explanation:

What happens when you press the enter key at the end of a line of bulleted text.

Answers

Answer:

when you use to typewriter, you have to use the carriage return at the end of every line In a typewriter, the fundamental unit of display,if you like,is a line. You type a line, then use the carriage return.

the fundamental unit a Word document is a paragraph.

When you use to word processor,such as Word, you don't use the carriage return at the end of every line. You just keep typing. Type type type. Word knows where the margins are. You can see the margins, too: the dotted rectangle on the page show you where they are. Just keep typing and Word will wrap the text within the margins.

Make sure you can see when you've pressed Enter by clicking the q button on the Standard Tollbar or on the Home tab. The q is the end-of-paragraph market.It shows you when you've pressed Enter

Press Enter to indicate the end of a paragraph,not the end of a line.

Describe the graph of x > 2 and x < 5

Answers

Answer:

y=(x−5)2

The graph of y is the standard parabolic, concave up curve of y=x2 shifted ("transformed") by 5 units right ("positive") on the x−axis,

The graph of y is shown below.

graph{(x-5)^2 [-10, 10, -5, 5]}

Answer:

I'm prettyy sure you already figured this out knowing you, so thanks;)

Step-by-step explanation:

Can someone please help, ty!!
(Will mark brainliest)

Answers

Answer:

3rd one

Step-by-step explanation:

Answer:

1 AND 3 it was hard........

i need help plzzzzzzzzz

Answers

Answer:

1 2 5 . 6 9

1 2 5 . 6 7 0

125.69 Would be Greater.

Step-by-step explanation:

First number to the right of the decimal is the tenths place 2nd number would be hundredths and you'd increase etc.

Write an equation to match this graph

Answers

Answer:

its y=x+7

Step-by-step explanation:

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