# Ratio Calculator

## Calculator Use

The ratio calculator performs three types of operations and shows the steps to solve:

- Simplify ratios or create an equivalent ratio when one side of the ratio is empty.
- Solve ratios for the one missing value when comparing ratios or proportions.
- Compare ratios and evaluate as true or false to answer whether ratios or fractions are equivalent.

This ratio calculator will accept integers, decimals and scientific e notation with a limit of 15 characters.

## Simplify Ratios:

Enter A and B to find C and D. (or enter C and D to find A and B)

The calculator will simplify the ratio A : B if possible. Otherwise the calculator finds an equivalent ratio by multiplying each of A and B by 2 to create values for C and D.

## Compare Ratios and Solve for the Missing Value:

Enter A, B and C to find D.

The calculator shows the steps and solves for D = C * (B/A)

Enter A, B and D to find C.

The calculator shows the steps and solves for C = D * (A/B)

## Evaluate Equivalent Ratios:

Enter A, B, C and D.

Is the ratio A : B equivalent to the ratio C : D? The calculator finds the values of A/B and C/D and compares the results to evaluate whether the statement is true or false.

### Convert Ratio to Fraction

A part-to-part ratio states the proportion of the parts in relation to each other. The sum of the parts makes up the whole. The ratio 1 : 2 is read as "1 to 2." This means of the whole of 3, there is a part worth 1 and another part worth 2.

To convert a part-to-part ratio to fractions:

- Add the ratio terms to get the whole. Use this as the denominator.

1 : 2 => 1 + 2 = 3 - Convert the ratio into fractions. Each ratio term becomes a numerator in a fraction.

1 : 2 => 1/3, 2/3 - Therefore, in the part-to-part ratio 1 : 2, 1 is 1/3 of the whole and 2 is 2/3 of the whole.

### Related Calculators

To reduce a ratio to lowest terms in whole numbers see our Ratio Simplifier.

To simplify a fraction into a reduced fraction or mixed number use our Simplifying Fractions Calculator.