Ratio Calculator

Step-by-step solution

1. 1

   Write each term as a fraction

   Every integer, decimal or fraction becomes an exact fraction — nothing is rounded.

   $$4 : 6$$
2. 2

   Multiply by the LCM of the denominators

   Multiply every term by 1, the least common multiple of all denominators, to turn the ratio into whole numbers.

   $$\left(4 : 6\right) \cdot 1 = 4 : 6$$

   • 4 · 1 = 4
   • 6 · 1 = 6
3. 3

   Divide by the GCD

   Divide every term by 2, the greatest common divisor of those whole numbers, to reduce the ratio as far as possible.

   $$\left(4 : 6\right) \div 2 = 2 : 3$$

   • 4 ÷ 2 = 2
   • 6 ÷ 2 = 3
4. 4

   Result

   The simplest form of the ratio is 2 : 3.

   $$4 : 6 = 2 : 3$$
5. 5

   Unit form (n : 1)

   Divide both terms by the second term to get the unit form 2/3 : 1 — the first quantity per one unit of the second.

   $$\frac{2}{3} : 1$$
6. 6

   Decimal comparison

   Divide each term by the first term to compare the ratio in decimals.

   $$2 : 3 = 1 : 1.5$$

   • 4 ÷ 4 = 1
   • 6 ÷ 4 ≈ 1.5