Sharing in a Ratio Calculator
🔢 Number, percentages & ratio. Use the Sharing in a ratio formula to find first share, first part of the ratio, second part of the ratio, total: pick the value you want, type the others, and the answer updates as you go.
The share of the first part of a ratio a : b.
Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.
What each letter means
| Quantity | Unit |
|---|---|
| First share | no unit |
| First part of the ratio | no unit |
| Second part of the ratio | no unit |
| Total | no unit |
Worked example
Find the first share when First part of the ratio = 2, Second part of the ratio = 3, Total = 100.
Using share = a/(a + b) × total: First share = 40.
Frequently asked questions
What is the formula for Sharing in a ratio?
share = a/(a + b) × total. The share of the first part of a ratio a : b.
What do the letters stand for, and what units are used?
First share, First part of the ratio, Second part of the ratio, Total.
How do you calculate first share?
Put the values into share = a/(a + b) × total. For example, with First part of the ratio = 2, Second part of the ratio = 3, Total = 100, first share = 40.
Can I solve for a different value?
Yes. In the calculator above, pick the circle next to any value (first share, first part of the ratio, second part of the ratio, total) and fill in the others: it rearranges the formula for you.
