MATH CALCULATOR

Ratio Calculator

Solve ratios, scale ratios to a specific total, and simplify ratios to their lowest terms.

Missing value12
Original ratio2 : 3
Known value8
Proportion2 : 3 = 8 : 12

How to Use the Ratio Calculator

Use the Ratio Calculator to solve proportions, scale a ratio to a specific total, or simplify a ratio to its lowest terms.

Choose the calculation you need, enter the values, and the calculator will automatically show the result.

How to Solve a Ratio

To solve a ratio, enter the two values that make up the known ratio and the known value from the second ratio.

For example, if the ratio is 2 : 3 and 2 corresponds to 8, the calculator can determine the value corresponding to 3. The result is 12.

How to Scale a Ratio

Scaling a ratio means finding values that maintain the same proportion while matching a specific total.

For example, a ratio of 2 : 3 has 5 total parts. If the target total is 25, the scaled values are 10 : 15.

How to Simplify a Ratio

Simplifying a ratio means reducing both numbers by their greatest common divisor until no further reduction is possible.

For example, 12 : 18 can be divided by 6, giving the simplified ratio 2 : 3.

Ratio Calculator Example

Suppose a recipe uses 2 cups of flour for every 3 cups of another ingredient. If you need 8 cups of flour, the equivalent amount of the second ingredient is 12 cups.

Enter 2 as the first ratio value,3 as the second ratio value, and8 as the known value to calculate the missing value.

Frequently Asked Questions

How do I calculate a ratio?

Enter the known values into the Solve a Ratio option. The calculator uses the proportion between the values to determine the missing number.

How do I find an equivalent ratio?

Use the Scale a Ratio option and enter the original ratio along with your desired total. The calculator will calculate equivalent values that preserve the same proportion.

How do I simplify a ratio?

Enter both numbers into the Simplify a Ratio option. The calculator divides both values by their greatest common divisor to produce the simplest ratio.

What is an example of a simplified ratio?

A ratio of 12 : 18 simplifies to 2 : 3 because both numbers can be divided by their greatest common divisor, 6.