Decimal to Fraction

Decimals practice

Write selected tenths and hundredths below 1 as fractions in simplest form.

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About this practice

Write the decimal as a fraction in simplest form.

Questions use selected tenths and hundredths greater than 0 and less than 1. Enter both the numerator and denominator, then check. Some fractions need simplifying; others are already in simplest form.

Typical level: Grade 4 and beyondIn the U.S. Common Core, Grade 4 connects tenths and hundredths to fractions. This practice also asks you to simplify the fraction. Curriculum timing varies.

Write the decimal as tenths or hundredths

Example: 0.35

0.35 means 35 hundredths. The whole has 100 equal parts, and 35 of them are shaded.

0.35 = 35 over 100

Two decimal places name hundredths, so the denominator is 100. One decimal place names tenths, so the denominator is 10. Write this place-value fraction first; simplify it afterward.

35 of 100 parts shaded Three full rows and five more squares make 35 hundredths.

The places name the size of the parts. Decimal Place Value practices telling tenths and hundredths apart.

Simplify without changing the value

Divide the numerator and denominator by the same common factor. For 35 over 100, both numbers divide by 5.

  1. Divide both numbers 35 ÷ 5 over 100 ÷ 5 = seven twentieths The parts are larger, so fewer of them name the same amount.
  2. Check that it is simplest 0.35 = seven twentieths 7 and 20 share no common factor greater than 1, so this is the fraction to enter.

Simplest form is required here. 35 over 100 has the right value, but it is not yet simplified. Submit seven twentieths.

Other place-value fractions

  • 0.5 = five tenths = one half One decimal place means tenths. Divide both numbers by 5.
  • 0.05 = 5 over 100 = one twentieth The zero holds the tenths place. The 5 is in the hundredths place, so this is five hundredths, not five tenths. There are still two decimal places.
  • 0.39 = 39 over 100 39 and 100 have no common factor greater than 1. This fraction is already simplest.