Ratio of 2 Numbers Calculator

Q: How do I simplify a ratio A : B?

If both A and B are integers: List the factors of A and the factors of B . Determine the greatest common factor of A and B. Divide each A and B by the number found in Step 2. 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.

Q: How do I simplify the ratio 6 : 8?

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

Q: How do I simplify the ratio 5 : 12?

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

Q: 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.

Creators

Anna Szczepanek, PhD

Anna SzczepanekPhD, Jagiellonian University in Kraków, Poland

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Anna Szczepanek, PhD is a mathematician at the Faculty of Mathematics and Computer Science of the Jagiellonian University in Kraków, where she researches mathematical physics and applied mathematics. At Omni, Anna uses her knowledge and programming skills to create math and statistics calculators. In her free time, she enjoys hiking and reading. See full profile

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Davide Borchia

Physicist by education, scientist by vocation. He holds a master’s degree in complex systems physics with a specialization in quantum technologies. If he is not reading something, he is outdoors trying to enjoy every bit of nature around him. He uses his memory as an advantage, and everything you will read from him contains at least one “I read about this five years ago” moment! See full profile

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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:

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.
Input the ratio A : B and, if needed, the factor or one of the numbers C or D.
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:

List the factors of A and the factors of B.
Determine the greatest common factor of A and B.
Divide each A and B by the number found in Step 2.
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.

FAQs

How do I simplify the ratio 6 : 8?

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

How do I simplify the ratio 5 : 12?

The factors of 5 are: 1 and 5;
The factors of 12 are: 1, 2, 3, 4, 6, and 12.
Hence, the greatest common divisor of 5 and 12 is 1. In other words, these numbers are co-prime.
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.