Ratio Calculator

Simplify ratios, find equivalent ratios, and solve ratio problems

Simplify Ratio

Enter Ratio

Simplified Ratio:

0 : 0

Find Equivalent Ratio

Original Ratio

Multiply by

Equivalent Ratio:

0 : 0

Solve Proportion (a:b = c:x)

First Ratio (a : b)

Second Ratio (c : x)

Value of x:

Part to Whole Ratio

Ratio (a : b)

Total Amount

Distribution:

0 : 0

How to Use This Calculator

Simplify Ratio

Reduce a ratio to its simplest form by finding the GCD.

Example: 8:12 = 2:3
Both divided by GCD of 4

Equivalent Ratios

Find a ratio equivalent to the original by multiplying both terms.

Example: 2:3 × 5 = 10:15
Both terms multiplied by 5

Solve Proportion

Find the missing value when two ratios are equal.

Example: If 2:3 = 8:x, then x = 12
Cross multiply: 2×x = 3×8

Part to Whole

Divide a total amount according to a given ratio.

Example: Split 80 in 3:5 ratio = 30 and 50
3+5=8 parts, 80÷8=10 per part

Common Uses

Recipe scaling and cooking
Map scales and distances
Mixing paint colors or solutions
Business profit sharing
Scale models and drawings
Image aspect ratios (16:9, 4:3)