Converting Decimals to Fractions

This video tutorial explains how to convert decimals into mixed numbers through various examples. It covers the conversion of simple decimals, decimals rounded to the hundredths and thousandths places, and repeating decimals. The tutorial also includes a challenge problem to test understanding of the concepts.

What is the first step in converting a decimal like 3.8 into a mixed number?

• Add 1 to the decimal

• Subtract the whole number part

• Convert the decimal part into a fraction

• Multiply the decimal by 100

When converting 7.4 to a mixed number, what fraction does the decimal 0.4 become?

• 2/5

• 3/5

• 4/5

• 1/2

What is the simplified fraction for the decimal 0.4?

• 4/5

• 2/5

• 1/2

• 3/5

How do you convert a decimal like 0.75, which is rounded to the hundredths place, into a fraction?

• Multiply by 5

• Multiply by 10

• Multiply by 100

• Multiply by 1000

What is the fraction equivalent of the repeating decimal 0.888...?

• 7/9

• 9/10

• 8/9

• 1/9

How is the repeating decimal 0.23... expressed as a fraction?

• 23/100

• 23/99

• 23/90

• 23/9

In the challenge problem, what is the non-repeating part of the decimal 6.5717171...?

• 0.57

• 0.71

• 0.17

• 0.5

What is the repeating part of the decimal 6.5717171...?

• 0.71

• 0.57

• 0.17

• 0.71

What is the fraction equivalent of 0.17 repeating?

• 17/99

• 17/100

• 17/90

• 17/9

What is the final mixed number for the decimal 6.5717171...?

• 6 and 3/4

• 6 and 283/495

• 6 and 17/99

• 6 and 2/5