Converting Repeating Decimals to Fractions: A Step-by-Step Guide

What is the first step in converting a repeating decimal to a fraction?

• Simplify the fraction

• Subtract the repeating part

• Write an equation with the decimal

• Multiply the decimal by 10

If two digits are repeating in a decimal, by what number should you multiply both sides of the equation?

• 10,000

• 10

• 100

• 1000

What happens to the decimal point when you multiply 0.316 by 100?

• It moves one place to the right

• It moves two places to the right

• It moves one place to the left

• It moves two places to the left

Why do the repeating digits subtract off perfectly when subtracting the two equations?

• Because they are the same digits

• Because they are different digits

• Because of the multiplication

• Because of the decimal point

What is the result of subtracting 31.61616... from 0.31616...?

• 30.0

• 30.3

• 31.0

• 31.3

What is the next step after obtaining 31.3/99 in the fraction form?

• Check with a calculator

• Simplify the fraction

• Multiply by 10

• Divide by 10

What is the simplified fraction form of 0.316 repeating?

• 313/990

• 313/99

• 31/99

• 31.3/99

In the example of 0.7291 repeating, what is the first step?

• Multiply by 100

• Subtract the repeating part

• Write an equation with the decimal

• Simplify the fraction

What is the result of multiplying 0.7291 by 100?

• 7.291

• 7291

• 72.91

• 729.1

What is the final fraction form of 0.7291 repeating?

• 7219/9900

• 72.19/99

• 7219/99

• 72.19/9900