Convert Percents to Decimals and Fractions

It's very simple to convert a percent to a decimal (and from there, it's easy to convert a decimal to a fraction!)

1. Convert your percent to a decimal (if necessary) by dividing the percent by 100 (shortcut: move the decimal two places to the left-- or away from the percent sign).  Remember, if you do not see a decimal point, it's right behind the last number.  Write it in if it helps you.
2. Remove the percent sign.

Example:

Turn 35% into a decimal.

\eqalign{35\% &= 35.\%\\35.\% \div100 &= .35}

Turn 2.1% into a decimal.

\eqalign{2.1\% \div100 &= .021}

If you want a fraction answer, the next step is to turn your decimal into a fraction.

1. Read the decimal aloud, using place value names.
2. Using the place value names, rewrite the decimal as a fraction.
3. Reduce.

Example:

Turn 35% into a fraction.

\eqalign{35\% &= 35.\%\\35.\% \div100 &= .35\\.35&=\text{thirty-five hundredths}\\ \text{thirty-five hundredths} &=\dfrac{35}{100}\\ &= \dfrac{7}{20}}

• Convert Fractions and Decimals to Percents

Write the decimal as a percent.

1. $0.95$

2. $0.004$

3. $5.36$

4. $0.183$

5. $2.17$

6. $3.2$

7. $0.057$

8. $7.237$

9. $0.039$

10. $0.09$

11. $4.1$

12. $0.7$

Write the fraction as a percent.

1. $\frac{5}{8}$

2. $\frac{3}{2}$

3. $\frac{1}{80}$

4. $\frac{3}{20}$

5. $\frac{31}{10}$

6. $\frac{4}{800}$

7. $\frac{4}{50}$

8. $\frac{117}{200}$

9. $\frac{7}{16}$

10. $\frac{45}{50}$

11. $\frac{2}{9}$

12. $\frac{30}{40}$