HOW TO simplify a ratio with this calculator?

Enter the two numbers of the ratio (A and B) and select Calculate. The tool reduces A:B to simplest form, shows the greatest common divisor, and displays equivalent forms like decimals and percentages.

HOW TO split a total amount by a ratio?

Enter the total along with the ratio A:B. The tool returns each share and the corresponding percentages.

HOW TO work with aspect ratios and scaling?

Enter width and height. The tool simplifies the aspect ratio and, if you set a target width or height, it computes the scaled counterpart while preserving the ratio.

HOW TO convert a ratio to percentage or decimal?

Enter A and B. The calculator shows A/(A+B) and B/(A+B) as percentages and A/B as a decimal and fraction (if exact).

HOW TO simplify a ratio with this calculator?

Enter the two numbers of the ratio (A and B) and select Calculate. The tool reduces A:B to simplest form, shows the greatest common divisor, and displays equivalent forms like decimals and percentages.

HOW TO split a total amount by a ratio?

Enter the total along with the ratio A:B. The tool returns each share and the corresponding percentages.

HOW TO work with aspect ratios and scaling?

Enter width and height. The tool simplifies the aspect ratio and, if you set a target width or height, it computes the scaled counterpart while preserving the ratio.

HOW TO convert a ratio to percentage or decimal?

Enter A and B. The calculator shows A/(A+B) and B/(A+B) as percentages and A/B as a decimal and fraction (if exact).

Ratio Calculator | TheCalculatorToolbox

Ratio Calculator | Simplify, Proportion Solver, Split Totals, Aspect Ratio

Calculate ratios and proportions

Choose a mode, enter values, then select Calculate. Use Reset to clear.

A ≥ 0 (both not zero)

B ≥ 0 (both not zero)

A in A:B

Leave ONE box empty to solve it

B in A:B

C in C:D

D in C:D

A share

A ≥ 0

B share

B ≥ 0

Total amount

Total

Total ≥ 0

Width

W > 0

Height

H > 0

Target width (optional)

Leave blank if not scaling by width

Target height (optional)

Leave blank if not scaling by height

A ≥ 0

B ≥ 0 (A and B not both zero)

Understand ratios and proportions

Ratios compare quantities by division, typically written as A:B. Proportions state that two ratios are equal, A:B = C:D. This ratio calculator simplifies ratios, solves missing values in proportions, splits totals by a ratio, preserves aspect ratios, and converts ratios into percentages, decimals, and fractions.

Why ratios matter

Everyday planning: Recipes, mixing solutions, sharing costs or profits.

Academic work: Algebra, geometry similarity, statistics, and data interpretation.

Professional use: Finance allocations, design aspect ratios, map scales, and engineering mix designs.

Core ideas

Simplest form: Divide A and B by their greatest common divisor (GCD).

Proportion solving: If A:B = C:D, then A×D = B×C. Knowing three values, you can find the fourth.

Splitting totals: For total T with ratio A:B, shares are T·A/(A+B) and T·B/(A+B).

Aspect ratio: Keep W/H constant when scaling width or height to prevent distortion.

Best practices

Use precise numbers: Enter full decimals to avoid rounding drift.

Check for zeros: Avoid dividing by zero and ensure A and B are not both zero.

Normalize decimals: When simplifying decimals, scale to integers first, then reduce.

Who benefits

Students and educators gain reliable step-by-step outputs. Designers preserve aspect ratios. Analysts and finance professionals split totals accurately. Engineers and scientists manage mixes and concentrations. This tool is global and language-agnostic—no regional settings required.

FAQs

HOW TO simplify a ratio?

Enter A and B, then select Calculate in the Simplify tab. The tool scales decimals to whole numbers, computes GCD, and returns A:B in simplest form with equivalent decimal and percentage views.

HOW TO solve a proportion A:B = C:D?

Enter any three values and leave one empty. The calculator uses cross multiplication to find the missing value and shows each step.

HOW TO split a total by a ratio?

Provide the total with A and B. You’ll get each share and the percentage breakdown immediately.

HOW TO keep aspect ratio when resizing?

Enter original width and height. If you set a target width (or height), the tool computes the matching height (or width) to maintain the same ratio.

HOW TO convert a ratio to percentages and decimals?

Use Conversions: the tool gives A/(A+B) and B/(A+B) as percentages and A/B as a decimal and fraction when exact.

HOW TO use this globally?

All calculations are client-side and country-neutral, relying on standard mathematical notation without locale-specific formats.

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