�鶹������ҳ���

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:

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

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 \(0.17\).

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:

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

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

To convert decimals to percentages multiply by \(100\%\)

Similarly, \(0.2\) becomes \(0.2 \times 100\% = 20\%\), and \(0.375\) becomes \(0.375 \times 100\% = 37.5\%\).

Method 1 - Convert to a fraction with a denominator of 100

You can convert fractions to percentages by first writing them with a denominator of \(100\).

\(\frac{6}{10}\) is equivalent to \(\frac{60}{100}\), so \(\frac{6}{10} = 60\%\).

\(\frac{1}{4}\) is equivalent to \(\frac{25}{100}\), so \(\frac{1}{4}= 25\%\).

Method 2 - Convert to a decimal, then multiply by 100%

\(\frac{3}{8} = 3 \div 8 = 0.375\)

\(0.375\times 100\% = 37.5\% \), so

\(\frac{3}{8} = 37.5\%\).

Example

\(85\%\) written as a fraction and as a decimal is:

\(85\% = \frac{85}{100} = \frac{17}{20}\)

and

\(85\% = 85 \div 100 = 0.85\)