Converting between percents, fractions, & decimals

For example, learn how 50%, 1/2, and 0.5 are all equivalent.
Percents, fractions, and decimals are all just different ways of writing numbers. For example, each of the following are equivalent:
PercentFractionDecimal
50, percentstart fraction, 1, divided by, 2, end fraction0, point, 5
In conversation, we might say Ben ate 50, percent of the pizza, or start fraction, 1, divided by, 2, end fraction of the pizza, or 0, point, 5 of the pizza. All three of these phrases mean the exact same thing.
In this article, we'll learn how to convert between percents, fractions, and decimals.

Converting between percents and fractions

Percents to fractions

Let's look at an example converting 15, percent to a simplified fraction.
15%=15100Write the percent as a fraction=15÷5100÷5Divide the top and bottom by 5=320Simplify\begin{aligned} 15\% &= \dfrac{{15}}{100} &\small{\gray{\text{Write the percent as a fraction}}} \\\\\\\\ &= \dfrac{15 \div 5}{100 \div 5} &\small{\gray{\text{Divide the top and bottom by 5}}}\\\\\\\\ &= \dfrac{3}{20} &\small{\gray{\text{Simplify}}} \end{aligned}
We figured out that 15, percent is equivalent to start fraction, 3, divided by, 20, end fraction.
Convert 44, percent to a simplified fraction.
  • Your answer should be
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4

44%=44100Write the percent as a fraction=44÷4100÷4Divide the top and bottom by 4=1125Simplify\begin{aligned} 44\% &= \dfrac{{44}}{100} &\small{\gray{\text{Write the percent as a fraction}}} \\\\\\\\ &= \dfrac{44 \div 4}{100 \div 4} &\small{\gray{\text{Divide the top and bottom by 4}}}\\\\\\\\ &= \dfrac{11}{25} &\small{\gray{\text{Simplify}}} \end{aligned}

Fractions to percents

Let's convert start fraction, 3, divided by, 5, end fraction to a percent. The key here is to turn start fraction, 3, divided by, 5, end fraction to a fraction with a denominator of 100. To do this, we need to know what times 5 gives us 100:
5, times, space, start color blueD, question mark, end color blueD, equals, 100
The number is 100, divided by, 5, equals, start color blueD, 20, end color blueD:
5, times, start color blueD, 20, end color blueD, equals, 100
Now we're ready to convert start fraction, 3, divided by, 5, end fraction to a percent:
35=3×205×20Multiply to get a denominator of 100=60100Simplify=60%Write as a percent\begin{aligned} \dfrac35 &= \dfrac{{3 \times \blueD{20}}}{5 \times \blueD{20}} &\small{\gray{\text{Multiply to get a denominator of 100}}} \\\\\\\\ &= \dfrac{60}{100} &\small{\gray{\text{Simplify}}}\\\\\\\\ &= 60\% &\small{\gray{\text{Write as a percent}}} \end{aligned}
We figured out that start fraction, 3, divided by, 5, end fraction is equivalent to 60, percent.
Convert start fraction, 12, divided by, 25, end fraction to a percent.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i
percent

The key here is to turn start fraction, 12, divided by, 25, end fraction to a fraction with a denominator of 100. To do this, we need to know what times 25 gives us 100:
25, times, space, start color blueD, question mark, end color blueD, equals, 100
The number is 100, divided by, 25, equals, start color blueD, 4, end color blueD:
25, times, start color blueD, 4, end color blueD, equals, 100
Now we're ready to convert start fraction, 12, divided by, 25, end fraction to a percent:
1225=12×425×4Multiply to get a denominator of 100=48100Simplify=48%Write as a percent\begin{aligned} \dfrac{12}{25} &= \dfrac{{12 \times \blueD{4}}}{25 \times \blueD{4}} &\small{\gray{\text{Multiply to get a denominator of 100}}} \\\\\\\\ &= \dfrac{48}{100} &\small{\gray{\text{Simplify}}}\\\\\\\\ &= 48\% &\small{\gray{\text{Write as a percent}}} \end{aligned}
We figured out that start fraction, 12, divided by, 25, end fraction is equivalent to 48, percent.

Converting between percents and decimals

Percents to decimals

Let's convert 8, percent to a decimal:
8%=8100Write the percent as a fraction=0.088100is 8 hundredths\begin{aligned} 8\% &= \dfrac{{8}}{100} &\small{\gray{\text{Write the percent as a fraction}}} \\\\\\\\ &= 0.08 &\small{\gray{\dfrac{8}{100}\text{is 8 hundredths}}}\end{aligned}
We figured out that 8, percent is equivalent to 0, point, 08.
Convert 4, percent to a decimal.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i

4%=4100Write the percent as a fraction=0.044100is 4 hundredths\begin{aligned} 4\% &= \dfrac{{4}}{100} &\small{\gray{\text{Write the percent as a fraction}}} \\\\\\\\ &= 0.04 &\small{\gray{\dfrac{4}{100}\text{is 4 hundredths}}}\end{aligned}
Convert 70, percent to a decimal.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i

70%=70100Write the percent as a fraction=0.7070100is 70 hundredths\begin{aligned} 70\% &= \dfrac{{70}}{100} &\small{\gray{\text{Write the percent as a fraction}}} \\\\\\\\ &= 0.70 &\small{\gray{\dfrac{70}{100}\text{is 70 hundredths}}}\end{aligned}

Decimals to percents

Let's convert 0, point, 05 to a percent:
0.05=5100This is 5 hundredths=5%Write as a percent\begin{aligned} 0.05 &= \dfrac{{5}}{100} &\small{\gray{\text{This is 5 hundredths}}} \\\\\\\\ &= 5\% &\small{\gray{\text{Write as a percent}}}\end{aligned}
We figured out that 0, point, 05 is equivalent to 5, percent.
Convert 0, point, 14 to a percent.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i
percent

0.14=14100This is 14 hundredths=14%Write as a percent\begin{aligned} 0.14 &= \dfrac{{14}}{100} &\small{\gray{\text{This is 14 hundredths}}} \\\\\\\\ &= 14\% &\small{\gray{\text{Write as a percent}}}\end{aligned}
Converting from a decimal to a percent can be tricky when the decimal is in tenths. Let's see if you can figure it out!
Convert 0, point, 3 to a percent.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i
percent

0.3=310This is 3 tenths=30100This is 30 hundredths=30%Write as a percent\begin{aligned} 0.3 &=\dfrac{{3}}{10} &\small{\gray{\text{This is 3 tenths}}} \\\\\\\\ &=\dfrac{{30}}{100} &\small{\gray{\text{This is 30 hundredths}}} \\\\\\\\ &= 30\% &\small{\gray{\text{Write as a percent}}}\end{aligned}
Convert 0, point, 9 to a percent.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i
percent

0.9=910This is 9 tenths=90100This is 90 hundredths=90%Write as a percent\begin{aligned} 0.9 &=\dfrac{{9}}{10} &\small{\gray{\text{This is 9 tenths}}} \\\\\\\\ &=\dfrac{{90}}{100} &\small{\gray{\text{This is 90 hundredths}}} \\\\\\\\ &= 90\% &\small{\gray{\text{Write as a percent}}}\end{aligned}

Let's practice!

Convert 0, point, 82 to a percent.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i
percent

0.82=82100This is 82 hundredths=82%Write as a percent\begin{aligned} 0.82 &= \dfrac{{82}}{100} &\small{\gray{\text{This is 82 hundredths}}} \\\\\\\\ &= 82\% &\small{\gray{\text{Write as a percent}}}\end{aligned}
Convert 9, percent to a decimal.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i

9%=9100Write the percent as a fraction=0.099100is 9 hundredths\begin{aligned} 9\% &= \dfrac{{9}}{100} &\small{\gray{\text{Write the percent as a fraction}}} \\\\\\\\ &= 0.09 &\small{\gray{\dfrac{9}{100}\text{is 9 hundredths}}}\end{aligned}
Convert start fraction, 8, divided by, 10, end fraction to a percent.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i
percent

The key here is to turn start fraction, 8, divided by, 10, end fraction to a fraction with a denominator of 100. To do this, we need to know what times 10 gives us 100:
10, times, space, start color blueD, question mark, end color blueD, equals, 100
The number is 100, divided by, 10, equals, start color blueD, 10, end color blueD:
10, times, start color blueD, 10, end color blueD, equals, 100
Now we're ready to convert start fraction, 8, divided by, 10, end fraction to a percent:
810=8×1010×10Multiply to get a denominator of 100=80100Simplify=80%Write as a percent\begin{aligned} \dfrac{8}{10} &= \dfrac{{8 \times \blueD{10}}}{10 \times \blueD{10}} &\small{\gray{\text{Multiply to get a denominator of 100}}} \\\\\\\\ &= \dfrac{80}{100} &\small{\gray{\text{Simplify}}}\\\\\\\\ &= 80\% &\small{\gray{\text{Write as a percent}}} \end{aligned}
We figured out that start fraction, 8, divided by, 10, end fraction is equivalent to 80, percent.
Convert 34, percent to a simplified fraction.
  • Your answer should be
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4

34%=34100Write the percent as a fraction=34÷2100÷2Divide the top and bottom by 2=1750Simplify\begin{aligned} 34\% &= \dfrac{{34}}{100} &\small{\gray{\text{Write the percent as a fraction}}} \\\\\\\\ &= \dfrac{34 \div 2}{100 \div 2} &\small{\gray{\text{Divide the top and bottom by 2}}}\\\\\\\\ &= \dfrac{17}{50} &\small{\gray{\text{Simplify}}} \end{aligned}
Convert 0, point, 4 to a percent.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i
percent

0.4=410This is 4 tenths=40100This is 40 hundredths=40%Write as a percent\begin{aligned} 0.4 &=\dfrac{{4}}{10} &\small{\gray{\text{This is 4 tenths}}} \\\\\\\\ &=\dfrac{{40}}{100} &\small{\gray{\text{This is 40 hundredths}}} \\\\\\\\ &= 40\% &\small{\gray{\text{Write as a percent}}}\end{aligned}