Ratio Calculator
Simplify any ratio A:B and get the decimal and percentage form.
Simplified Ratio
2:3
GCF Used
6
Percentage Shares
40% · 60%
Ratio Formulas and Rules
Simplify Ratio
a:b = (a ÷ GCF):(b ÷ GCF)
Three-Part Ratio
a:b:c = (a ÷ GCF):(b ÷ GCF):(c ÷ GCF)
Equivalent Ratio
a:b = ka:kb
Proportion
a:b = c:d
Cross Multiplication
a × d = b × c
Split Total
Value = Total × Ratio Part ÷ Total Parts
Ratio to Percentage
Percentage = Ratio Part ÷ Total Parts × 100
Variable Explanations
a and b
Ratio parts being compared.
c
Optional third ratio part.
GCF
Greatest common factor used to simplify.
k
Scale factor for equivalent ratios.
Total
Amount being divided by the ratio.
Proportion
Statement that two ratios are equal.
Missing value
Unknown quantity solved from a proportion.
What Ratios Mean
Worked Examples
Simplify 12:18
Method: Divide by 6
2:3
Simplify 24:36:60
Method: Divide by 12
2:3:5
Equivalent ratio
Method: 2:3 × 5
10:15
Solve 2:3 = 10:x
Method: Cross multiply
x = 15
Split 100 by 2:3
Method: 5 total parts
40 and 60
Convert 2:3 to %
Method: 2/5 and 3/5
40% and 60%
Compare 4:6 and 2:3
Method: Simplify both
Equivalent
Decimal ratio 1.5:2.5
Method: Multiply by 10
3:5
Common Ratio Mistakes
Frequently Asked Questions
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