Converting Repeating Decimals to Fractions

Why do we multiply by 100 when converting 0.363636... to a fraction?

• To shift the decimal one place to the right

• To shift the decimal two places to the right

• To shift the decimal three places to the right

• To shift the decimal four places to the right

What is the fraction form of 0.363636...?

• 5/12

• 1/3

• 4/11

• 36/99

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

• Divide by the repeating part

• Subtract the repeating part

• Set the repeating decimal equal to x

• Multiply the decimal by 10

In the example of 0.7141414..., why do we multiply by 100?

• To make the number larger

• To simplify the fraction

• To align the repeating part

• To clear the decimal completely

What is the fraction form of 0.7141414...?

• 707/990

• 71/99

• 714/1000

• 7/10

When converting 3.257257257... to a fraction, why do we multiply by 1000?

• To shift the decimal four places to the right

• To shift the decimal two places to the right

• To shift the decimal three places to the right

• To shift the decimal one place to the right

What is the fraction form of 3.257257257...?

• 325/999

• 3/257

• 3257/1000

• 3254/999

What is the improper fraction form of 3.257257257...?

• 3 and 254/1000

• 3 and 257/1000

• 3 and 254/999

• 3 and 257/999

What is the final mixed number form of 3.257257257...?

• 3 and 254/1000

• 3 and 257/999

• 3 and 254/999

• 3 and 257/1000

What is the purpose of converting repeating decimals to fractions?

• To make the number larger

• To make the number smaller

• To simplify calculations

• To change the number's value