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Solve for an Unknown Fraction

Find the missing number in a proportion a/b = c/d.

Change the values and press Calculate to work out your own figures.

Enter three of the four numbers and leave the unknown empty.

About first fraction: numeratorThe top number.
About first fraction: denominatorThe bottom number.
About second fraction: numeratorThe top number.
About second fraction: denominatorThe bottom number.
Result
The missing value
4.5
Equation
3/4 1/2 = 2/3

The missing value is 4.5.

Show the working
  1. Cross-multiply: a × d = b × c
  2. Solve for the blank: 4.5

How to use it

Enter three of the four numbers and leave the unknown empty.

Numbers can be whole numbers, decimals (0.75), fractions (3/4), mixed numbers (1 1/2), repeating decimals (0.(3)) and, where a percent is asked for, percentages (75%). Show the working gives each step.

Key facts

a/b = c/d ⇔ ad = bc

Cross-multiplying

Multiply diagonally and solve the one-step equation for the unknown.

Questions

If 3/x = 2/3, what is x?

4.5.

If x/8 = 3/4?

6.

Formulas

a/b = c/d ⇔ ad = bc

Sources

Limitations

  • Numbers have at most 120 digits.

Formula version 0.1.0Reviewed