Simplify ratio-30:45

Simplify ratios and solve proportions — step by step.

Ratio

Answer

-2:3

To simplify the ratio -30 : 45, follow the step-by-step solution below.

Step 1 — Find the greatest common divisor (GCD)

Find the largest number that divides both 30 and 45 evenly:

GCD(30, 45) = 15

Step 2 — Divide both parts by the GCD

Divide each part of the ratio by 15:

-30 ÷ 15 = -2

45 ÷ 15 = 3

-30 : 45 = -2 : 3

Simplify ratio-30:45 by dividing both parts by their greatest common factor.

This is a Ratio — ratio simplification

What is the answer to ratio-30:45?
The answer is -2:3.

What method is used?
To simplify a ratio, divide both numbers by their GCD (greatest common divisor). The result is the ratio in lowest terms.