Ratio of 2 Numbers Calculator
Table of contents
How do I calculate the ratio of two numbers?How to use this ratio of 2 numbers calculatorHow do I simplify a ratio A : B?Omni calculators related to ratiosFAQsWelcome 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
AandB. - You can also force it into the form
1 : norn : 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 numbersCorDspecified.
- Most probably, you need to simplify it. Use this option to find the ratio of 2 numbers: just input them as
- Input the ratio
A : Band, if needed, the factor or one of the numbersCorD. - 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
Aand the factors ofB. - Determine the greatest common factor of A and B.
- Divide each
AandBby 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.
How do I simplify the ratio 6 : 8?
- The factors of
6are:1,2,3, and6. - The factors of
8are:1,2,4, and8. - The greatest common divisor of
6and8is2. - We divide both
6and8by2. - The resulting ratio is
3 : 4.
How do I simplify the ratio 5 : 12?
- The factors of
5are:1and5; - The factors of
12are:1,2,3,4,6, and12. - Hence, the greatest common divisor of
5and12is1. In other words, these numbers are co-prime. - This means that the ratio
5 : 12cannot 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.