Expressing Repeating Decimals as Fractions

This video tutorial explores the process of converting repeating decimals into fractions. It begins with an introduction to the concept and then provides a step-by-step guide to convert the repeating decimal 1.34 into a fraction. The tutorial includes practice problems of varying difficulty, culminating in an advanced problem involving both non-repeating and repeating decimals. The video emphasizes the importance of practice and provides clear instructions for each step of the conversion process.

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

• Multiply the decimal by a power of 10

• Divide by the number of repeating digits

• Write an equation with the decimal

• Subtract the equations

In the example of converting 1.34 repeating to a fraction, what is the result after multiplying by 100?

• 134.34 repeating

• 13.4 repeating

• 1.34 repeating

• 1340.34 repeating

What is the fraction form of 1.02 repeating?

• 99/101

• 102/100

• 101/99

• 100/99

How do you simplify the fraction 15/9?

• 9/5

• 15/3

• 3/5

• 5/3

What is the shared factor used to simplify the fraction 15/9?

• 3

• 5

• 9

• 15

What is the first step when dealing with a repeating decimal where only the last digit repeats?

• Subtract the equations

• Shift non-repeating digits first

• Multiply by 100

• Multiply by 10

What is the fraction form of 0.125 with only the last digit repeating?

• 100/125

• 113/900

• 125/1000

• 12/5