- Convert fractions to decimals and percentages.
Converting Between Fractions and Decimals
Fractions to Decimals
A fraction bar indicates division.
[latex]{\dfrac{7}{12}}[/latex] is equivalent to [latex]7\div 12[/latex]
This means that we can convert a fraction to a decimal by treating it as a division problem.
[latex]\dfrac{7}{12} = 7 ÷ 12 = 0.58333\ldots[/latex]
Sometimes we will need to round:
| Tenths | one decimal place | [latex]0.6[/latex] |
| Hundredths | two decimal places | [latex]0.58[/latex] |
| Thousandths | three decimal places | [latex]0.583[/latex] |
Decimals to Percentages
To rewrite a decimal to a percentage, move the decimal over two places to the right and write it with the percent symbol ([latex]\%[/latex]).
This act is the exact same as multiplying by [latex]100[/latex].
[latex]0.58333 = 58.333\%[/latex]