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Convert simple decimals to fractions

A terminating decimal through hundredths represents a fraction whose denominator is determined by place value: tenths use 10 and hundredths use 100. For example, 0.6 represents 6/106/10, and 0.25 represents 25/10025/100; the fraction may also be renamed in an equivalent simplest form, such as 1/21/2 for 0.500.50. This understanding connects decimal notation with fraction equivalence and later proportional reasoning, while excluding thousandths, repeating decimals, and arbitrary denominators.

Detailed Explanation: Convert simple decimals to fractions

A decimal can be written as a fraction by using its place value.

  • One digit after the decimal point means tenths, so the denominator is 1010.
  • Two digits after the decimal point means hundredths, so the denominator is 100100.

Example: Convert 0.250.25 to a fraction.

  1. The number 0.250.25 has two digits after the decimal point, so it represents 25 hundredths.
  2. Write 2525 over 100100:
0.25=251000.25=\frac{25}{100}
  1. Rename the fraction in simplest form. Both 2525 and 100100 can be divided by 2525:
25100=14\frac{25}{100}=\frac{1}{4}

Therefore, 0.25=14\boxed{0.25=\frac{1}{4}}.

Learn by doing: Convert simple decimals to fractions

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    Decimals to Fractions - Standard

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