Converting Repeating Decimals to Fractions

The video tutorial by Mr. J explains how to convert repeating decimals into fractions through a series of examples. It covers cases with only repeating digits and those with mixed repeating and non-repeating digits. The process involves writing equations, shifting decimals, and simplifying fractions. The tutorial emphasizes understanding the method and provides tips for simplifying the steps.

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

• Write an equation with x equal to the repeating decimal

• Multiply the decimal by 10

• Subtract the repeating part

• Simplify the fraction

How do you handle two repeating digits when converting to a fraction?

• Multiply by 100

• Multiply by 10

• Multiply by 1000

• Multiply by 1

When converting 2.4 repeating to a fraction, what should you do with the whole number?

• Convert it separately and add it later

• Ignore it completely

• Subtract it from the repeating decimal

• Multiply it by the repeating decimal

What is the greatest common factor used to simplify 150/999?

• 3

• 9

• 5

• 15

What is the fraction form of 0.5 repeating?

• 5/8

• 5/9

• 5/11

• 5/10

In the example of 0.2 with 47 repeating, what is the first step?

• Subtract the non-repeating part

• Write x equal to the decimal

• Simplify the fraction

• Multiply by 10

How do you handle a non-repeating digit in a decimal like 9.1 with 6 repeating?

• Add it to the repeating part

• Multiply it by the repeating part

• Convert it separately

• Ignore it

What is the fraction form of 0.87 repeating?

• 87/9

• 87/99

• 87/11

• 87/100

What is the simplified form of 245/990?

• 50/198

• 49/198

• 50/199

• 49/199

What is the fraction form of 0.337 repeating?

• 337/9

• 337/999

• 337/99

• 337/1000