QCSunny Lab

Ratio Calculator

Simplifies A:B, solves A:B = C:x, and shows A/B as decimal and percent.

Simplify a ratio A:B to its smallest whole numbers, see it as a decimal and a percentage, and solve the classic proportion A:B = C:x — find x when three of the four terms are known.

Simplifying a ratio divides both sides by their GCD, so 18:24 becomes 3:4. The solver uses cross-multiplication: A·x = B·C, so x = B·C / A.

Frequently asked questions

How do I simplify the ratio 36:48?

Divide both by their GCD (12) to get 3:4.

How do I scale a recipe for 12 people?

If the recipe serves 4, solve 4:12 = 1:x portions — the ratio tells you to multiply every ingredient by 3.

Can ratios have decimals?

The input can, but the simplified form is always whole numbers — 2.5:1.5 simplifies to 5:3.

中文说明

把比 A:B 化为最简整数比,查看对应的小数与百分比,并解经典比例式 A:B = C:x——已知三项求第四项。

化简比是两边同除以最大公约数,例如 18:24 → 3:4。求解采用交叉相乘:A·x = B·C,故 x = B·C ÷ A。

常见问题

36:48 怎么化简?

两边同除以最大公约数 12,得到 3:4。

怎么把 4 人份食谱扩成 12 人份?

解比例 4:12 = 1:x,即可知道所有食材都要乘以 3。

比可以有是小数吗?

输入可以,但化简结果一定是整数——2.5:1.5 会化简为 5:3。