Ratio Calculator

Use this free ratio calculator to simplify two-part or three-part ratios, scale equivalent ratios, split totals by a ratio, and see the work step by step.

All tools
Smoke mascot checking ratio cards for 12:18 to 2:3, 4:7 to 20:35, 120 split by 2:3, and 1.5:2.25 to 2:3.
Ratio Calculator artwork matches the live workflow: simplify 12:18, scale 4:7 into 20:35, split 120 by 2:3, clear decimal ratios, and keep ratio parts in order. View in the smoke-kawaii gallery
Simplify ratios Equivalent ratios Split totals Step-by-step work
Simplify2:3
Original ratio
12:18
Scaled whole values
12:18
Greatest divisor
6

Steps

  1. Start with the ratio 12:18.
  2. Clear decimals if needed, giving 12:18.
  3. Divide each part by the greatest common divisor, 6.
  4. The simplified ratio is 2:3.

How to use the Ratio Calculator

  1. Choose Simplify, Equivalent, or Split total.
  2. Enter the ratio parts or the known equivalent-ratio values.
  3. Press Calculate ratio to see the answer, scale factor or shares, and steps.
  4. Use examples, recent answers, or copy the answer while comparing proportions.

What people use it for

Simplify ratios such as 12:18 into lowest terms.

Scale a 1:2, 4:7, or 3-part ratio when one part changes.

Split a total amount into shares, such as 120 split by 2:3.

Compare recipes, mixtures, pixels, map sizes, classroom examples, and proportional relationships.

Clear decimals first, then check that every part still uses the same unit.

Quick examples

Simplify a ratio

12:18

2:3

Find an equivalent ratio

4:7 = 20:?

20:35

Split a total

120 split by 2:3

48, 72

Clear a decimal ratio

1.5:2.25

2:3

Need the guide or a nearby tool?

Need a slower walkthrough, a related calculator, or the full library? These links keep you close to the task you started.

Frequently asked questions

Quick answers about simplifying, equivalent ratios, splitting totals, decimals, and privacy.

What can I use the Ratio Calculator for?

Use it to simplify ratios, scale a ratio into an equivalent ratio, or split a total amount into parts based on a ratio. It works best when all parts use the same unit.

What do the Ratio Calculator inputs mean?

In Simplify mode, enter the ratio parts you already have. In Equivalent mode, enter the old ratio and the new known part. In Split total mode, enter the ratio parts and the total amount you want to divide.

What do the main Ratio Calculator inputs mean?

The main inputs are the numbers, operation, mode, or known values the calculator needs. Keep units consistent, enter percentages the way the page label shows, and use the examples as a quick check before trusting the answer.

How should I read the Ratio Calculator answer?

Read the headline answer, then check the supporting lines and examples to understand how the calculator got there. If one input changes, rerun the tool and compare the new answer instead of guessing.

What should I double-check before trusting the Ratio Calculator?

Check units, signs, rounding, and the selected mode before copying the answer. If the number feels weird, rerun one of the examples first, then put your own values back in slowly.

How do I simplify a ratio?

Enter two or three ratio parts, choose Simplify, and calculate. The calculator clears decimals if needed, then divides each part by the greatest common divisor.

How do equivalent ratios work?

Equivalent ratios keep the same relationship between parts. If 4:7 is scaled so the first part becomes 20, the scale factor is 5 and the second part becomes 35.

How do I split a total by a ratio?

Choose Split total, enter the ratio parts and the total. The calculator adds the ratio parts, finds the value of one part, then multiplies each part by that value. For 120 split by 2:3, one part is 24, so the shares are 48 and 72.

Can ratios include decimals?

Yes. Decimal ratio parts are accepted in Simplify and Split total modes. The calculator converts them to whole-number parts before simplifying, so 1.5:2.25 becomes 150:225, then 2:3.

What mistake changes a ratio answer?

Changing the order changes the meaning. A 2:3 mix is not the same as a 3:2 mix. Also convert units first, such as ml to ml or pixels to pixels, before simplifying.

When should I use a different calculator?

Use the Percentage Calculator when the question asks for a percent, the Fraction Calculator when you need fraction arithmetic, and the Aspect Ratio Calculator when you are resizing images or screens by width and height.

Is my ratio history private?

Yes. Recent ratio answers stay only in the current browser tab while you use the page. They are not sent to a server, and closing or refreshing the tab clears the short history.

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