Converting between decimals and fractions

Converting decimals to fractions

0.38 means 38 hundredths, so:

0.38 = \frac{38}{100} = \frac{19}{50}

Similarly, 0.4 means 4 tenths, so:

0.4 = \frac{4}{10} = \frac{2}{5}

And 0.125 means 125 thousandths, so:

0.125 = \frac{125}{1,000} = \frac{1}{8}

Question

Write 0.7 as a fraction in its simplest form.

\frac{7}{10}

Converting fractions to decimals

\frac{3}{10} means three tenths, and is written as 0.3.

\frac{17}{100} means seventeen hundredths, and is written as 0.17.

Question

Write \frac{9}{100} as a decimal.

\frac{9}{100} = 0.09

Using a calculator

When the bottom number isn't a multiple of 10, convert a fraction to a decimal by dividing the top number by the bottom. You can use a calculator to help you.

For example:

\frac{3}{4} = 3 \div 4 = 0.75

\frac{16}{25} = 16 \div 25 = 0.64