Converting Repeating Decimals to Fractions

What is a repeating decimal?

• A decimal that ends after a few digits

• A decimal that has a sequence of digits that repeats indefinitely

• A decimal that changes its digits randomly

• A decimal that is always less than 1

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

• Let X equal the repeating decimal

• Divide by the number of repeating digits

• Multiply the decimal by 10

• Subtract the repeating part

If a decimal has one repeating digit, by what number should you multiply both sides of the equation?

• 1

• 1000

• 10

• 100

What is the fraction equivalent of 0.7 repeating?

• 7/10

• 1/7

• 7/9

• 1/3

When converting a decimal with two repeating digits, by what number should you multiply both sides of the equation?

• 10

• 100

• 1

• 1000

What is the fraction equivalent of 0.31 repeating?

• 31/99

• 31/100

• 31/10

• 31/9

For a decimal with three repeating digits, by what number should you multiply both sides of the equation?

• 10

• 1

• 100

• 1000

What is the fraction equivalent of 0.352 repeating?

• 352/1000

• 352/10

• 352/999

• 352/100

What is the fraction equivalent of -0.8 repeating?

• -8/100

• -8/99

• -8/10

• -8/9

What is the fraction equivalent of 1.25 repeating?

• 1 25/99

• 1 25/100

• 1 25/9

• 1 25/10