# Ratio of 2 Numbers Calculator

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
or`1 : n`

;`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.

- Most probably, you need to
**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.

## Omni calculators related to ratios

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

- Ratio calculator;
- Ratio of 3 numbers calculator;
- Simplify ratio calculator; and
- Equivalent ratio calculator.

## FAQ

### 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`4`

. - 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.