Converting Repeating Decimals to Fractions

This video tutorial teaches how to convert repeating decimals into fractions. It begins by explaining what repeating decimals are and how to use bar notation to represent them. The tutorial then reviews converting regular decimals to fractions before delving into the main topic of converting repeating decimals. It covers the use of nines in the denominator and the importance of simplifying fractions. The video also addresses decimals with both non-repeating and repeating parts, providing step-by-step instructions for conversion.

What is a repeating decimal?

• A decimal that ends after a few digits

• A decimal that is always less than 1

• A decimal in which a digit or sequence of digits repeats indefinitely

• A decimal that has no pattern

How is bar notation used in repeating decimals?

• To indicate the repeating part of the decimal

• To show the whole number part

• To separate the decimal from the fraction

• To indicate the start of a decimal

How do you convert 0.7 to a fraction?

• 7/1

• 1/7

• 7/9

• 7/10

What is the denominator for a repeating decimal with one repeating digit?

• 100

• 10

• 99

• 9

How do you convert 0.13 (with 13 repeating) to a fraction?

• 13/10

• 13/99

• 13/100

• 13/9

What is the simplified form of 3/9?

• 1/3

• 3/1

• 3/9

• 1/9

How do you simplify 45/99?

• 5/9

• 5/11

• 9/11

• 45/9

What is the first step in converting a decimal with a non-repeating part?

• Add the non-repeating part to the repeating part

• Subtract the non-repeating part from the entire number

• Divide the non-repeating part by 9

• Multiply the non-repeating part by 10

How do you handle the denominator for a decimal with one repeating digit and two non-repeating digits?

• Use 99 as the denominator

• Use 90 as the denominator

• Use 900 as the denominator

• Use 9 as the denominator

What is the fraction form of 1.666...?

• 16/9

• 15/90

• 15/99

• 16/99