Ratio to Fraction Calculator

Convert any ratio such as 3:4 into its equivalent fraction and simplify to lowest terms.

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Convert a ratio (A:B) into fractions of the whole. Enter two positive numbers to see each part expressed as a simplified fraction.

Enter valid values Provide two positive numbers for A and B to convert a ratio to fractions.

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Ratio & Fraction Tools

Ratio to fraction calculator: convert any ratio to a fraction

A ratio to fraction calculator converts a ratio such as 3:4 into its equivalent fraction 3/4 and simplifies it to lowest terms. Ratios and fractions are closely related: a ratio A:B expresses the same relationship as the fraction A/B. Converting between them is common in maths, cooking, and proportion problems.

How ratios map to fractions

A ratio A:B describes the relationship between two quantities. To express this as a fraction, write A as the numerator and B as the denominator: A/B. The fraction is then simplified by dividing both terms by their greatest common divisor. For example, 6:8 becomes 6/8, which simplifies to 3/4.

For ratios with more than two parts (e.g., 2:3:5), each part can be expressed as a fraction of the total. The total is 2 + 3 + 5 = 10, so the parts are 2/10, 3/10, and 5/10, which simplify to 1/5, 3/10, and 1/2.

Practical applications

Recipe scaling often requires converting a ratio to a fraction. If a recipe calls for ingredients in the ratio 2:3 and you have 500g of the first ingredient, the second ingredient is 500 x (3/2) = 750g.

Map scales, gear ratios, and mixture concentrations all benefit from the same conversion. A gear ratio of 48:16 simplifies to the fraction 3/1, meaning the driven gear turns once for every three turns of the driving gear.

Frequently asked questions

Is the fraction A/B the same as the ratio A:B?

They express the same proportional relationship but are used in different contexts. A fraction represents a part of a whole or a division result, while a ratio compares two quantities. Numerically, A:B and A/B encode the same information.

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

Add all parts to find the total, then express each part as a fraction of that total. For 1:2:3, the total is 6, and the fractions are 1/6, 2/6 (or 1/3), and 3/6 (or 1/2).

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