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Ratio Calculator

Solve A : B = C : D for the missing term, simplify or compare ratios, and enlarge or shrink a ratio.

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

Solve a proportion A : B = C : D

Enter three of the four terms and leave the missing one empty.

About aFirst term of the ratio.
About bSecond term of the ratio.
About cFirst term of the second ratio.
About dSecond term of the second ratio.
Result
The missing value
800
Proportion
3 : 4 = 600 : 800
As 1 : n
1 : 1.(3)
Simplest form
3 : 4
Share of the total
42.(857142)% : 57.(142857)%

The missing value is 800.

Show the working
  1. Cross-multiply: a × d = b × c
  2. Solve for the blank: 800

Simplify a ratio

Enter the two terms.

About aFirst term of the ratio.
About bSecond term of the ratio.
Result
Simplified ratio
2 : 3
a ÷ b
0.(6)
As a percent
66.(6)%
Part of the whole
2/5 and 3/5 (40% and 60%)

12 : 18 = 2 : 3.

Show the working
  1. Scale to whole numbers, then divide both by their greatest common factor

Compare two ratios

Enter both ratios.

About aFirst term of the ratio.
About bSecond term of the ratio.
About cFirst term of the second ratio.
About dSecond term of the second ratio.
Result
Comparison
3 : 4 > 2 : 3
First as a decimal
0.75
Second as a decimal
0.(6)

The first ratio is larger.

Show the working
  1. Compare a ÷ b with c ÷ d

Enlarge or shrink a ratio

Enter the ratio, enlarge or shrink, and how many times.

About aFirst term of the ratio.
About bSecond term of the ratio.
About enlarge or shrinkMultiply or divide both terms.
About timesHow many times larger or smaller.
Result
Shrunk ratio
100 : 112
Simplest form (unchanged)
25 : 28

250 : 280 shrunk 2.5 times is 100 : 112.

Show the working
  1. Multiply both terms by 0.4

How to use it

Enter three of the four terms and leave the missing one empty. Enter the two terms. Enter both ratios. Enter the ratio, enlarge or shrink, and how many times.

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 ⇔ A × D = B × C

Scaling screens and images

A 16 : 9 screen enlarged 120 times is 1,920 : 1,080, which is full HD.

Questions

If 3 : 4 = 600 : x, what is x?

800.

Simplify 12 : 18.

2 : 3.

Formulas

A : B = C : D ⇔ A × D = B × C

Sources

Limitations

  • Numbers have at most 120 digits.

Formula version 0.1.0Reviewed