Fraction to Decimal
Decimals practice
Convert fractions below 1 over 10 or 100, plus halves, fourths and fifths, to exact decimals.
Decimals practice
Convert fractions below 1 over 10 or 100, plus halves, fourths and fifths, to exact decimals.
Write the fraction as an exact decimal.
Questions use fractions over 10 or 100, plus familiar halves, fourths and fifths. Every fraction is greater than 0 and less than 1, and every answer ends within two decimal places. Type the decimal, then check it.
A zero at the end does not change the value: 0.5 and 0.50 are both accepted.
Typical level: Grade 4 and beyondIn the U.S. Common Core, Grade 4 connects fractions with denominators 10 and 100 to decimal notation. This practice also includes halves, fourths and fifths. Curriculum timing varies.
The denominator tells you the size of each part. A denominator of 10 means tenths; 100 means hundredths.
For help naming the places, try Decimal Place Value.
Example: three fourths
Each quarter of this whole contains 25 hundredths. Three quarters contain 3 × 25 = 75 hundredths.
three fourths = 75 over 100 = 0.75
Multiplying both the numerator and denominator by 25 changes the name of the fraction, but not its value. The shaded amount stays the same.
Tenths can work too. two fifths = four tenths = 0.4. Multiply both numbers by 2 to make tenths.
A fraction already over 100 does not need simplifying first: 25 over 100 = 0.25.
A fraction also means division: 3 ÷ 4 = 0.75. Both methods give the same exact value.