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Ratio Calculator

A ratio calculator simplifies mathematical ratios into lowest integers and solves for missing fourth terms in proportionate mathematical equations (A:B = C:D). By applying cross-multiplication, it verifies that a ratio of 8:12 simplifies to 2:3, and solves proportions such as 4/8 = x/16 to find x = 8.

By Daniel Okoro (Mathematics Editor) · Reviewed by Maya ChenUpdated · Published

Ratio A
0
Ratio B
0
Ratio C
0
SOLVED VALUE X
X = 0

Ratio: 0 : 0 (Simplified: 0 : 0)

How Does the Ratio Calculator Work?

  1. To simplify: divide both sides of A:B by their greatest common divisor.
  2. To solve for missing value: use cross-multiplication (A × D = B × C).

What Is the Ratio Formula?

A / B = C / D => D = (B × C) / A

Cross-multiplication to solve for missing proportional terms.

Variables
A, B:Known ratio pair
C, D:Proportional target pair

How Do You Calculate Ratio Step by Step?

Solve 3 : 5 = 12 : X
A: 3
B: 5
C: 12
D: ?

Cross multiply: 3 × X = 5 × 12

3X = 60

X = 60 / 3 = 20

Final Solution:X = 20 (Ratio is 12 : 20)

Ratio Questions and Answers

Find the greatest common divisor of 24 and 36, which is 12. Divide both numbers by 12: (24÷12) : (36÷12) = 2:3.

Where Do These Ratio Standards Come From?

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