Converting Repeating Decimals to Fractions

The video tutorial teaches how to convert repeating decimals into fractions. It begins with an introduction to the materials needed, followed by three examples: converting 0.45, 0.072, and 0.36 repeating decimals into fractions. Each example is broken down into clear steps, including writing equations, multiplying by powers of ten, and simplifying the resulting fractions. The tutorial concludes with tips and encouragement for students to practice the steps.

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

• Simplify the fraction

• Subtract the repeating part

• Write an equation with x equal to the repeating decimal

• Multiply the decimal by 10

If two digits repeat in a decimal, by what number should you multiply each side of the equation?

• 10

• 1

• 100

• 1000

What do you do after multiplying both sides of the equation by the appropriate power of 10?

• Multiply by another power of 10

• Add the original equation

• Divide by the repeating decimal

• Subtract the original equation

What is the simplified fraction form of 0.45 repeating?

• 5/11

• 9/20

• 4/9

• 1/2

In the second example, what is the repeating decimal being converted?

• 0.36

• 0.5

• 0.45

• 0.072

How many digits are repeating in the decimal 0.072?

• 1

• 4

• 2

• 3

What is the simplified fraction form of 0.072 repeating?

• 8/111

• 5/11

• 1/9

• 7/99

In the third example, which digit is repeating in the decimal 0.36?

• 3

• Neither

• 6

• Both 3 and 6

What is the simplified fraction form of 0.36 with the 6 repeating?

• 3/10

• 11/30

• 1/3

• 5/11

What should you do if you end up with a decimal in your fraction?

• Leave it as is

• Multiply the numerator and denominator by 10

• Divide by the decimal

• Add the decimal to the numerator