Simplify any ratio A:B to its smallest whole numbers, convert it to a decimal and a percentage, and solve the classic proportion equation A:B = C:x — find x instantly when three of the four terms are known.
Simplifying a ratio divides both sides by their greatest common divisor (GCD), so 18:24 becomes 3:4. The proportion solver uses cross-multiplication: A·x = B·C, meaning 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 solve the proportion 3:4 = 9:x?
Cross-multiply: 3x = 36, so x = 12. Enter A=3, B=4, C=9 to get x=12.
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
把任意比 A:B 化为最简整数比，查看对应的小数与百分比，并求解经典比例方程 A:B = C:x——已知其中三项即时求解第四项 x。
化简比即两边同除以最大公约数，例如 18:24 → 3:4。解比例采用交叉相乘法：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。
比例式 3:4 = 9:x 怎么解？
交叉相乘得 3x = 36，故 x = 12。在计算器中输入 A=3、B=4、C=9 即可立即求出 x=12。
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。