Fraction to decimal chart

Every fraction in lowest terms with a denominator of 2, 3, 4, 5, 6, 8, 10, 12 or 16, as a decimal and a percent, plus a second page that converts each 64th of an inch to decimal inches and millimeters.

Fraction to decimal chart — free printable PDF preview

Both pages

Page 1 is the classroom chart of fractions, decimals and percents; page 2 is the workshop chart, with every 64th of an inch as a decimal and in millimeters.

  • Fraction to decimal chart — Fractions, decimals, percents

    Fractions, decimals, percents

  • Fraction to decimal chart — 64ths of an inch

    64ths of an inch

How to print it

  1. Open the print view. Press Print for a clean print-ready view of page 1, or download it as a PDF or PNG. The other pages are in the gallery below, with a button to download them all.
  2. Fit to page. In the print dialog choose “Fit to page” — the chart is laid out for US Letter and scales cleanly onto A4.
  3. Copy freely. Print or photocopy as many as you need for home, classroom or tutoring use. It is free, with no sign-up.

About the fraction to decimal chart

Page 1 is a fraction chart in three columns: fraction, decimal and percent. Fractions such as 6/8 are left out on purpose: each one equals a fraction already listed (6/8 = 3/4), so the chart stays short enough to scan. Thirds, sixths and twelfths become repeating decimals, printed as 0.3333… with the percent rounded to one decimal place; every other entry is exact. There are no sevenths, ninths or elevenths here; the fraction wall gives 1/7, 1/9 and 1/11 as decimals. Page 2 is the machinist and woodworking chart: each 64th of an inch in lowest terms, its exact decimal in inches and its size in millimeters, which is handy for matching fractional drill bits and wrenches to metric ones.

Grade level: this chart is used in our 4th grade math worksheets and 5th grade math worksheets collections.

Frequently asked questions

Why are some decimals followed by …?

A fraction whose lowest-terms denominator has a prime factor other than 2 or 5 never ends as a decimal. On this chart those are the thirds, sixths and twelfths. In each of them a single digit repeats forever: 5/12 is 0.4166… and the 6s never stop.

Why does the chart only list fractions in lowest terms?

Any other fraction equals one that is listed, so it has the same decimal. Simplify first: 10/16 = 5/8 = 0.625. Listing only lowest terms keeps the chart to 31 rows instead of 57.

How do you change a fraction to a decimal without a chart?

Divide the top by the bottom: 3/8 means 3 ÷ 8, which is 0.375. Multiply the decimal by 100 for the percent, so 3/8 is 37.5%.

How accurate is the 64ths of an inch chart?

The decimal inches are exact, since every 64th ends within six decimal places. Millimeters use the exact definition 1 inch = 25.4 mm and are rounded to two places and marked ≈; only 1/4, 1/2, 3/4 and 1 inch come out exact.

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