Simplify
20:30 has a GCD of 10, so it simplifies to 2:3.
Simplify, solve, scale, and compare two-part ratios, convert ratios to fractions or percentages, and divide a total into proportional shares with clear steps.
A ratio compares two quantities in a stated order. The ratio 2:3 means there are two units of the first quantity for every three units of the second.
Equivalent ratios preserve the same relationship even when their terms differ, such as 2:3 and 4:6.
Divide both integer terms by their greatest common divisor.
A:B = (A ÷ GCD):(B ÷ GCD)Cross multiply and isolate the one unknown value.
a/b = c/d, so ad = bcAdd the ratio parts and allocate that fraction of the total to each share.
first = total × A/(A+B); second = total × B/(A+B)20:30 has a GCD of 10, so it simplifies to 2:3.
For 2:3 = 8:x, cross multiplication gives 2x = 24, so x = 12.
2:3 and 4:6 are equivalent because their cross-products are equal.
Dividing 1,000 in the ratio 2:3 produces shares of 400 and 600.
For 2:5, the first term is 40% of the second. In 2:3, the first and second shares of the total are 40% and 60%.
Reversing ratio terms changes the comparison.
A as a percentage of B differs from A as a share of A+B; this calculator labels both.
The ratio A:B can be written as A/B when B is nonzero. Multiplying that quotient by 100 gives A as a percentage of B. Shares of a whole instead use A/(A+B) and B/(A+B).
This version supports complete, robust two-part ratio workflows. Three-part ratios are not partially implemented and may be added in a future release.
Find the greatest common divisor of both integer terms and divide each by it.
Write the ratios as equal fractions, cross multiply, and divide to isolate the unknown.
Yes. Normalization keeps the sign on the first term and the second term positive.
It may mean the first number divided by the second, or each number's share of their total. The calculator reports these separately.
Yes. Scaled output retains decimal terms rather than forcing them to integers.
Yes. Select currency display to format the two proportional shares as currency.