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Workshop calculators

Fraction calculator

Add, subtract, multiply and divide fractions and mixed numbers exactly, the way they read on a tape measure.

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Operation

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Worked example

23 5/8 ÷ 6 =

3 15/16

Exact

Decimal
3.9375
Improper fraction
63/16
Nearest 1/16
3 15/16

How it works

Each number is read as an exact fraction: 23 5/8 is 189/8, and a decimal such as 2.5 is 5/2, never a rounded binary number. The answer is reduced and shown as a mixed number, an improper fraction and a decimal.

The decimal and the nearest 1/16 are marked “≈” when they are rounded. Rounding goes to the nearest value, and an exact halfway point rounds away from zero.

Example: dividing a 23 5/8 in board into 6 equal parts gives 3 15/16 in each, exactly (63/16 = 3.9375).