Ratio to Fraction Converter

Transform any ratio into a clear fraction. This tool calculates the 'part-to-whole' relationship, making it easy to understand proportions in probability, cooking, and finance.

Fraction A = A / (A + B + C) Fraction B = B / (A + B + C)
Ratio 1 : 4: • Total = 1 + 4 = 5. • Part A = 1/5. • Part B = 4/5.

How do you convert a ratio to a fraction?

To convert a "part-to-part" ratio (A:B) to a fraction, the numerator is A and the denominator is the sum of both parts (A + B). For example, a ratio of 1:3 becomes the fraction 1/(1+3) = 1/4.

What is the difference between part-to-part and part-to-whole ratios?

A part-to-part ratio compares two individual parts (e.g., 2 red balls to 3 blue balls). A part-to-whole ratio compares one part to the entire set (e.g., 2 red balls to 5 total balls). Fractions are naturally part-to-whole.

How do I convert a 3-part ratio to fractions?

For a ratio A:B:C, you can create three fractions: A/(A+B+C), B/(A+B+C), and C/(A+B+C). These fractions represent the proportion of the total that each part occupies.

Can a ratio be a fraction directly?

Only if it is a "part-to-whole" ratio. In that case, the ratio 3:4 means 3 out of every 4, which is the same as the fraction 3/4.