Mathematics College

1. Solve and show your work for each question.

(a) What is 0.36-- (line on 3&6) expressed as a fraction in simplest form?

(b) What is 0.36- (line on 6) expressed as a fraction in simplest form?

(c) What is 0.36 expressed as a fraction in simplest form?

Answers

Answer 1

The decimal 0.36 can be represented as a fraction in simplest form as 9/25. It can also be expressed as a repeating decimal using a variable.

a) 0.36 can be represented as a fraction in simplest form by using place value to identify the denominator. The number 3 is in the hundredths place value position.

Thus, the denominator is 100. 36 is in the numerator position.

Therefore, 0.36 in fraction form is 36/100 which simplifies to 9/25.

b) 0.36 can be represented as a fraction in simplest form by identifying the denominator based on place value.

In this case, 6 is in the thousandths place value position, so the denominator is 1000. 36 is in the numerator position. Thus, 0.36 in fraction form is 36/1000 which can be simplified to 9/250.

c) To write 0.36 as a fraction in simplest form, the place value of each digit needs to be considered. 3 is in the tenths place value position and 6 is in the hundredths place value position.

Therefore, 0.36 in fraction form is 36/100 which simplifies to 9/25.The decimal 0.36 can be represented in fraction form as 36/100 or 9/25.

To determine the fraction in simplest form, the denominator must be reduced to its lowest possible value without changing the numerator. The decimal 0.36 with a line on top of 3 and 6 represents a repeating decimal.

To express this number as a fraction, a variable is used.

In this case, the variable x is equivalent to 0.36. By setting up a proportion and solving for x, the answer can be found.

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Step-by-step explanation: just multiply it man

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