Skill: Convert hundredths fractions to decimals

Explanation and Free Practice Resources

A fraction with denominator 100 represents hundredths, so its numerator becomes the digits to the right of the decimal point: 7/100=0.077/100=0.07, 45/100=0.4545/100=0.45, and 100/100=1.00=1100/100=1.00=1. The understanding includes the role of a zero in preserving place value—distinguishing 0.050.05 from 0.50.5—and connects fractional and decimal notation for quantities through hundredths; it does not include thousandths or converting fractions with other denominators.

Detailed Explanation: Convert hundredths fractions to decimals

A denominator of (100)(100) means hundredths. To write a fraction with denominator (100)(100) as a decimal:

  1. Write (0.)(0.)
  2. Use the numerator as the two digits after the decimal point.
  3. Add a zero if the numerator has only one digit.

Example: Convert 5100\frac{5}{100} to a decimal.

  • The denominator is (100)(100), so we need two digits after the decimal point.
  • The numerator is 55. Write it as (05)(05) to fill both places.
  • Therefore,
5100=0.05\frac{5}{100}=0.05

The zero is important: (0.05)(0.05) means five hundredths, while (0.5)(0.5) means five tenths.

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Fraction to Decimals - To Hundredths Decimal - Concept Intro


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