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Printable reference chart

Fraction Chart: Decimals and Percents

Use this chart to look up fraction to decimal and decimal to fraction conversions, alongside percent values and equivalent fractions. Filter it by denominator family, or open any row to see the value worked out. The whole chart also fits on one A4 page.

Download full A4 PDF
  • 37 fractions
  • PDF & PNG
  • One A4 page
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Look up any value

Fraction, decimal, and percent chart

37 fractions · 10 denominator families

Filter by denominator
FractionDecimalPercent
0.550%
0.333333.3%
0.666766.7%
0.2525%
0.7575%
0.220%
0.440%
0.660%
0.880%
0.166716.7%
0.833383.3%
0.12512.5%
0.37537.5%
0.62562.5%
0.87587.5%
0.111111.1%
0.222222.2%
0.444444.4%
0.555655.6%
0.777877.8%
0.888988.9%
0.110%
0.330%
0.770%
0.990%
0.08338.3%
0.416741.7%
0.583358.3%
0.916791.7%
0.06256.3%
0.187518.8%
0.312531.3%
0.437543.8%
0.562556.3%
0.687568.8%
0.812581.3%
0.937593.8%
Printable fraction to decimal chart showing 37 common fractions with their decimal and percent values

The printable page

What is on the printed chart

The PDF is one A4 page grouped by denominator family, so halves, thirds, and fourths sit together instead of being scattered alphabetically. Each row carries the fraction in simplest form, three equivalent fractions, its decimal, and its percent. Print one copy for the wall and a second as the answer key.

  • Grouped by family
  • Denominators 2 to 16
  • One A4 page

Working in inches?

Fractions of an inch, decimal, and millimetres

The chart above is for the classroom. This one is for the bench, the workshop, or the drawing: every 64th of an inch to its exact decimal value and its millimetre equivalent, with the values a tape measure actually carries marked out.

  • 63 values
  • Exact decimals
  • Millimetres
Graduation

Showing 63 of 63 values. 15 of them are marked on a standard tape measure.

Fraction of an inchDecimal (in)Millimetres
1/640.0156250.397
1/320.031250.794
3/640.0468751.191
1/16tape0.06251.587
5/640.0781251.984
3/320.093752.381
7/640.1093752.778
1/8tape0.1253.175
9/640.1406253.572
5/320.156253.969
11/640.1718754.366
3/16tape0.18754.762
13/640.2031255.159
7/320.218755.556
15/640.2343755.953
1/4tape0.256.350
17/640.2656256.747
9/320.281257.144
19/640.2968757.541
5/16tape0.31257.938
21/640.3281258.334
11/320.343758.731
23/640.3593759.128
3/8tape0.3759.525
25/640.3906259.922
13/320.4062510.319
27/640.42187510.716
7/16tape0.437511.112
29/640.45312511.509
15/320.4687511.906
31/640.48437512.303
1/2tape0.512.700
33/640.51562513.097
17/320.5312513.494
35/640.54687513.891
9/16tape0.562514.287
37/640.57812514.684
19/320.5937515.081
39/640.60937515.478
5/8tape0.62515.875
41/640.64062516.272
21/320.6562516.669
43/640.67187517.066
11/16tape0.687517.462
45/640.70312517.859
23/320.7187518.256
47/640.73437518.653
3/4tape0.7519.050
49/640.76562519.447
25/320.7812519.844
51/640.79687520.241
13/16tape0.812520.637
53/640.82812521.034
27/320.8437521.431
55/640.85937521.828
7/8tape0.87522.225
57/640.89062522.622
29/320.9062523.019
59/640.92187523.416
15/16tape0.937523.813
61/640.95312524.209
31/320.9687524.606
63/640.98437525.003

What does this fraction chart show?

It lists 37 common fractions with denominators of 2, 3, 4, 5, 6, 8, 9, 10, 12, and 16. Each row gives the fraction in simplest form, three equivalent fractions, its decimal value, and its percent value. The chart leaves out fractions that reduce to a row already shown. For example, 6/8 is not a separate row because it reduces to 3/4. Simplify an unlisted fraction first, then look for the reduced form.

How do I use the chart in either direction?

Start with the value you know and stay on the same row. You do not need to calculate anything when the value is already in the table.

From a fraction

Find the fraction in the first column and read to the right. The 3/8 row gives 0.375 and 37.5%. If the fraction is not listed, reduce it first: 15/24 divides by 3 to become 5/8, so its decimal is 0.625 and its percent is 62.5%.

From a decimal or percent

Find the decimal or percent, then read left to the fraction. The 0.625 row points to 5/8. For a percent, move the decimal point two places left before searching: 75% becomes 0.75, which is 3/4. Use the equivalent-fractions column when you need a different denominator.

How do I turn a fraction into a decimal?

Divide the numerator by the denominator. The fraction bar means division, so 3/8 means 3 ÷ 8. To turn the decimal into a percent, multiply it by 100. These examples show the same steps used to make the chart.

FractionDivisionDecimalPercent
1/41 ÷ 40.2525%
3/83 ÷ 80.37537.5%
2/32 ÷ 30.666766.7%
5/65 ÷ 60.833383.3%
7/167 ÷ 160.437543.8%

When the decimal terminates, keep the exact result: 3/8 is exactly 0.375. When it continues forever, the chart rounds the decimal to four places and the percent to one decimal place. That is why 2/3 appears as 0.6667 and 66.7% rather than a finished exact decimal.

Why do some decimals repeat?

A fraction in simplest form has a terminating decimal only when its denominator is built from factors of 2 and 5. That is why fractions such as 1/4, 3/8, and 7/10 end, while thirds, sixths, ninths, and twelfths often repeat. For example, 1/3 is 0.3333… and 5/6 is 0.8333…. The chart marks those repeating rows, so you can tell a rounded value from an exact one at a glance. If you continue a calculation, use the fraction or the full calculator result rather than the rounded number printed in the chart.

How can I check a conversion?

Use the relationship between all three forms. For a proper fraction, the decimal should be between 0 and 1 and the percent should be between 0% and 100%. Multiplying the decimal by 100 must give the percent: 0.4375 × 100 = 43.75%, shown as 43.8% after rounding. You can also multiply the decimal by the denominator. For 3/8, 0.375 × 8 returns 3, the numerator. Finally, equivalent fractions must multiply or divide the numerator and denominator by the same number; 3/8, 6/16, and 9/24 therefore represent the same value.

More printable number charts

Fractions are easier once counting and place value are secure. These charts cover the groundwork, and they print on the same one-page A4 layout.

Frequently asked questions

It is a lookup table that places common fractions next to their decimal and percent equivalents, so you can move between the three forms without doing the division by hand. This one covers 37 fractions from halves to sixteenths, each with three equivalent fractions.

Read the decimal as a fraction of its place value and then reduce it: 0.375 becomes 375/1000, and dividing the top and bottom by 125 gives 3/8. For a value that is on this chart, the faster route is to find it in the decimal column and read left to the fraction.

The classroom chart stops at sixteenths, because that is as far as fractions are usually taught. 1/64 belongs to the inch chart above: it is 0.015625 inches, or 0.397 millimetres, and that chart carries every 64th up to 63/64 with the tape-measure values marked.

Yes. The PDF is a single A4 sheet grouped by denominator family, and the PNG is the same sheet rasterised at three times its size. If you only need one family, filter the chart first and use Print or Download PNG to get a shorter sheet holding just those rows.

Yes. Every chart on this site prints and downloads without an account, and you can use the copies at home, in a classroom, or in a tutoring session.
Download the full fraction chart PDF