Ratio of 2 Numbers Calculator

Created by Anna Szczepanek, PhD
Reviewed by Davide Borchia
Last updated: Jun 05, 2023


Welcome to Omni's ratio of 2 numbers calculator! Here we've gathered all the math operations you might want to perform on a ratio A : B, e.g., simplify it, find an equivalent ratio, and many others. Let's quickly discuss how to find ratio of 2 numbers and then how to simplify it.

🙋 Hey, this calculator is about mathematical operations performed on ratios! If you're interested in ratios for a very practical reason, namely because you want to buy a new TV set, check out our screen ratio calculator.

How do I calculate the ratio of two numbers?

A ratio of two numbers describes the quantitative relationship between these numbers, i.e., it says how many times one number is bigger than the other number. The ratio A : B is read as "A to B". In fact, ratios are just another way of writing down fractions: the ratio A : B is the same as the fraction A / B.

For instance, if in a recipe you're told to use 200 g of butter and 800 g of flour, then the ratio of these ingredients is 200 : 800. Clearly, we need four times more flour than butter. In other words, our ratio can be simplified to 1 : 4. Mathematically, we've just simplified the fraction 200/800 to 1/4 by dividing both the numerator and denominator by 200. As you can see, it's not hard to find the ratio of 2 numbers!

How to use this ratio of 2 numbers calculator?

Here's how to use this ratio of 2 numbers calculator most efficiently:

  1. First, choose the operation you want to perform on the ratio you're given:
    • Most probably, you need to simplify it. Use this option to find the ratio of 2 numbers: just input them as A and B.
    • You can also force it into the form 1 : n or n : 1;
    • Or recalculate it into an equivalent yet bigger/smaller ratio. Here you need to provide the factor.
    • Finally, you can find a ratio equivalent to your ratio (A : B = C : D) with one of the numbers C or D specified.
  2. Input the ratio A : B and, if needed, the factor or one of the numbers C or D.
  3. Our ratio of 2 numbers calculator will perform the computations and display the results immediately. Enjoy!

We bet this Omni tool will turn out handy in lots of situations!

How do I simplify a ratio A : B?

If both A and B are integers:

  1. List the factors of A and the factors of B.
  2. Determine the greatest common factor of A and B.
  3. Divide each A and B by the number found in Step 2.
  4. Write down the new, simplified ratio.

If either A or B are not integers (e.g., fractions, mixed numbers, decimal numbers): treating the ratio A : B as the fraction A/B, perform standard math operations to get a fraction with whole numbers in both numerator and denominator. Then go to Step 1.

If you got interested in ratio-related math operations, you'll find the following Omni tools useful:

FAQ

How do I simplify the ratio 6 : 8?

  1. The factors of 6 are: 1, 2, 3, and 6.
  2. The factors of 8 are: 1, 2, 4, and 8.
  3. The greatest common divisor of 6 and 8 is 2.
  4. We divide both 6 and 8 by 4.
  5. The resulting ratio is 3 : 4.

How do I simplify the ratio 5 : 12?

  1. The factors of 5 are: 1 and 5;
  2. The factors of 12 are: 1, 2, 3, 4, 6, and 12.
  3. Hence, the greatest common divisor of 5 and 12 is 1. In other words, these numbers are co-prime.
  4. This means that the ratio 5 : 12 cannot be simplified! It is already in its simplest form.

What does it mean that two numbers are in the ratio of 2 to 3?

The fact that two numbers are in the ratio of 2 to 3 can be reformulated as follows:

  • You can fit the smaller number in the bigger number one and a half times.
  • The smaller number contains 66.6% of the bigger number.
  • If these numbers describe how many elements of two types there are, then the elements corresponding to the bigger number constitute 60% of the total number of elements.
Anna Szczepanek, PhD
Ratio of...
two numbers (A : B)
I would like to...
simplify the ratio.
A
B
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