Math

Ratio Calculator

Math

Ratio Calculator

Live answer2:312:18 totals 30. Shares 40% and 60%; scaled to 100: 40 and 60.

First valueThe first part of the ratio.Second valueThe second part of the ratio.Scale to total (optional)Optional combined total for scaling the same ratio.

Live result2:312:18 totals 30. Shares 40% and 60%; scaled to 100: 40 and 60.

Formula used

Simplified ratio = first value ÷ common factor : second value ÷ common factor. Part share = part ÷ (first value + second value) × 100. Scaled part = target total × part share.

This is the method behind the answer, so the result can be checked rather than simply trusted.

Live math canvas

Your numbers, formula and explanation together

Ratio Calculator: 2:3. 12:18 totals 30. Shares 40% and 60%; scaled to 100: 40 and 60.

Formula applied

The exact method behind this answer

CalculationTime keeps the method visible so the number can be checked instead of blindly trusted.

Simplified ratio = first value ÷ common factor : second value ÷ common factor. Part share = part ÷ (first value + second value) × 100. Scaled part = target total × part share.

Apply the formulaSimplified ratio = first value ÷ common factor : second value ÷ common factor. Part share = part ÷ (first value + second value) × 100. Scaled part = target total × part share.2:312:18 totals 30. Shares 40% and 60%; scaled to 100: 40 and 60.

Your live breakdown

Current inputs in the calculation

These values come from the controls above and update when the calculator changes.

First value: 12
Second value: 18
Scale to total: 100 optional

Resulting answer

2:3

12:18 totals 30. Shares 40% and 60%; scaled to 100: 40 and 60.

Answer: 2:3
Live support: 12:18 totals 30. Shares 40% and 60%; scaled to 100: 40 and 60.

Assumptions used

What this answer assumes

Use the simplified ratio for comparison and the scaled values for recipes, mixes, classroom worksheets or quote notes.

Both ratio parts are treated as non-negative quantities.
Whole-number values are simplified by their greatest common divisor; decimal values are reduced by decimal-place scaling before the same idea is applied.
If both parts are zero, the ratio is undefined because there is no total relationship to compare.
The optional target total scales the same relationship; it does not change the ratio itself.

Master’s Tip

How to use the result well

Master’s Tip: keep the original units beside the ratio. A 2:3 mix, classroom score split or map scale can share the same arithmetic while meaning very different things in practice.

Printable record

What belongs in the saved calculation

Save the inputs, result, formula, assumptions, page URL and date together so the calculation can be reviewed later.

First value: 12
Second value: 18
Scale to total: 100 optional

What-if check

Scale the same ratio

The relationship stays the same while the total changes. This helps turn a simplified ratio into a recipe, mix, worksheet or quote quantity without losing the original proportion.

Target total	First part	Second part
50.00	20.00	30.00
100.00	40.00	60.00
200.00	80.00	120.00

Visual proof

Parts of the whole

Blue and gold show the two parts inside the combined whole, making the difference between a part-to-part ratio and part-to-whole percentages visible.

Visual grid

This number is one point on a larger pattern

Ratio is not just a final answer. It is a step on a line: before and after, input and output, assumption and result.

Micro-timehours, minutes, shiftsHuman scaledays, weeks, projectsMacro-timemonths, years, calendars

InputFormulaResult

2:3

CalculationTime keeps the path visible: the input, the method and the final number belong together.

2:312:18 totals 30. Shares 40% and 60%; scaled to 100: 40 and 60.

Inputs

First value: 12
Second value: 18
Scale to total: 100

Method

Simplified ratio = first value ÷ common factor : second value ÷ common factor. Part share = part ÷ (first value + second value) × 100. Scaled part = target total × part share.

For 12 and 18, the greatest common divisor is 6. Divide both parts by 6: 12 ÷ 6 = 2 and 18 ÷ 6 = 3, so the simplified ratio is 2:3. The total parts are 5, so the first share is 40% and the second share is 60%. Scaled to 100, the parts are 40 and 60.

Assumptions

Both ratio parts are treated as non-negative quantities.
Whole-number values are simplified by their greatest common divisor; decimal values are reduced by decimal-place scaling before the same idea is applied.
If both parts are zero, the ratio is undefined because there is no total relationship to compare.
The optional target total scales the same relationship; it does not change the ratio itself.

Notes

Use this space on the printed report for client, supplier, classroom, job-location, measurement, quote or approval notes.