Simplify ratios, solve proportions and split amounts in a ratio.
Divide every part by their greatest common divisor. The ratio 12 : 18 simplifies to 2 : 3 because both numbers divide by 6.
A ratio compares quantities. This calculator has three tools: simplify a ratio of two or three numbers (decimals are handled), solve a proportion A : B = C : D by finding the missing value, and divide a total amount between parts in a given ratio such as 2 : 3 : 5.
Ratios and fractions are two views of the same idea — see the Fraction Calculator; use the GCF Calculator to find the divisor yourself and the Percentage Calculator to turn ratios into percentages.
The calculator applies the standard method step by step.
| Item | Value |
|---|---|
| Original ratio | 12 : 18 |
| Simplified ratio | 2 : 3 |
| A ÷ B | 0.66666667 |
| Share of the total — A | 40% |
| Share of the total — B | 60% |
| Ratio | Simplified |
|---|---|
| 12 : 18 | 2 : 3 |
| 100 : 75 | 4 : 3 |
| 2.5 : 10 | 1 : 4 |
| 45 : 60 : 75 | 3 : 4 : 5 |
| 7 : 49 | 1 : 7 |
Divide all the numbers by their greatest common divisor. 12 : 18 ÷ 6 = 2 : 3.
Cross-multiply and divide. For 3 : 4 = 9 : x, x = 4 × 9 ÷ 3 = 12.
Add the ratio parts, divide the amount by that sum, then multiply by each part. ₹1,000 in 2 : 3 : 5 gives ₹200, ₹300, ₹500.
Multiply every part by 10, 100 or 1,000 until all are whole numbers, then simplify. 2.5 : 10 becomes 25 : 100, which is 1 : 4.
Ratios with the same simplest form, such as 1 : 2, 2 : 4 and 50 : 100.
A ratio compares parts to parts (2 : 3); a fraction compares a part to the whole (2/5 and 3/5).
It uses the standard method: A : B = C : D ⇒ A × D = B × C share = total × part ÷ (sum of parts) The full working and a worked example are shown on this page.
Decimal results use standard double-precision arithmetic (about 15–16 significant digits). Tools that work with whole numbers — big numbers, factors, bases, combinations — use exact integer arithmetic, so no digits are lost.
Yes for checking your work and learning the method. The steps and formula are shown so you can understand the answer, but follow your teacher's rules about calculators in exams.
No. Everything is calculated in your browser and nothing you enter is uploaded or saved.
