Ratio Calculator: Steps to Calculate Ratio Numbers

Ratio Calculator helps us calculate the ratio of different numbers. The ratio is applied in solving mathematical problems and used in all physical quantities, such as investment, profit, loss, time taken, work, distance, speed, etc. It plays a vital role in mathematics from primary classes to higher classes and from engineering to scientific studies, everywhere the ratio is used to solve problems. And this is the reason, a ratio calculator is needed. Here in this article, we have provided the details of ratio calculator use, formula, definition, ratio calculator to simplest form with examples.

Ratio Calculator helps us calculate the ratio of simplified numbers, mixed numbers, whole numbers, decimal numbers, fractions, etc. It is a simple formula by which you can get the result in a few steps. In this article, you’ll find steps on how to calculate ratio in a calculator so you can use them easily for solving mathematical problems.

What Do You Understand by Ratio?

A ratio is a value comparison between two numbers. A ratio is denoted by the symbol of the colon ‘:‘ between the two or more parts. The ratio A : B is called “A to B”, which describes the relative proportion of two amounts. 

Learn 10th CBSE Exam Concepts

Ratio Calculator

Below, we have provided the ratio calculator online which you can use for. Enter the first number and the second number and click on “Calculate”. The calculated ratio will be displayed.

How Do You Calculate a Ratio?

To measure a ratio of an amount, we divide the amount by the total number of parts in the ratio and then multiply this answer by the original ratio.

For example, an amount of 20 is to be shared in a ratio of 2:3.
Accordingly, the first step is to count the total number of parts in the ratio, i.e. 2 + 3 = 5.
So, the ratio 2 : 3 contains 5 parts in total for the amount of 20.
Now, we have to divide the amount 20 with a total number of parts i.e., 20/5=4.
Now multiply this number with the ratio dividends, so 2:3 have the divisions of 8 & 12.

What is a Ratio Calculator?

A ratio Calculator is a formula used to solve ratio problems to express two or three numbers ratio to its simplest form. A ratio calculator accepts two or three whole numbers, integers, decimals, scientific e-notation, fractions or mixed numbers A, B & C and simplifies it to the ratio form, i.e. A : B : C.

Ratio Calculator Uses

Ratio Calculator performs three operations which are: 

1. It simplifies the ratio or creates an equivalent ratio in case if one side of the ratio is blank. 
2. Find the missing value when comparing ratios or proportions. 
3. Compare ratios and check whether the answer is true or false or evaluate if the ratio or fraction is equivalent.

Ratio Calculator: Simplified Ratio

The main objective of the ratio calculator for the simplified ratio option is to Express the ratio in the simplest form.

Simplified Ratio Formula:

$\frac{A}{G C F ( A \& B )}+\frac{{\displaystyle B}}{{\displaystyle G C F ( A \& B )}}$

If the number is more than two ratios then, use this formula:

Practice 10th CBSE Exam Questions

How to Find the Simplified Ratio using Ratio Calculator?

Firstly, we need to convert all values to whole numbers and reduce the whole numbers to the lowest terms using the greatest common factor (GCF).

Case 1: If A, B and C are whole numbers

1. List the factors of number A.
2. List the factors of number B.
3. List the factors of number C.
4. Find the GFC of A, B and C, GCF (A, B, C). If the GCF (A, B, C)=1 then the ratio is in simplest form.
5. Divide A, B and C by the GCF, to get:

$A:B:C=\frac{A}{GCF (A, B, C)}+\frac{B}{GCF (A, B, C)}+\frac{C}{GCF (A, B, C)}$

Example: Find the simplified ratio of 6:3
Solution: Take out the Greatest Common Factor (GCF)
GCF of (6, 3) = 3
Now imply the formula, which represents as:
$\mathrm{Simplified} \mathrm{Ratio} = \frac{63}{}:\frac{33}{}$
So, the Simplified Ratio is= 2 : 1

Case 2: If A, B and C are not whole numbers

Mixed Number to Ratio: If numbers A, B, or C are mixed numbers, change those mixed numbers to improper fractions. If numbers A, B and C are fractions, then multiply fractions by the denominator to convert them. If numbers A and B are unlike fractions then you need to find the LCD (A, B, C) and again write the fractions with the Lowest Common Denominator (LCD) as the denominator. Then multiply fractions to the denominator to eliminate it.

Decimal Numbers to Ratio: If the numbers are in decimals, multiply all values by the same factor of 10 to eliminate decimal places.

Guidelines to Use Ratio Calculators with Different Numbers

1. If A or B or C are mixed numbers, you have to change them to improper fractions.
2. If A or B, or C are Decimal numbers, multiply the given values by the same factor of 10 till all the decimal places are eliminated. 
3. If one value is a whole number and another one is a fraction, then convert the fraction to a whole number or change the whole number into a fraction by adding a denominator of 1. 
4. If both A and B are fractions and have the same or like denominators, multiply both fractions by the denominator to make them two whole numbers.
5. In a case where fractions have unlike denominators, find the Lowest Common Denominator (LCD) of A, B and again write the fractions using LCD as the denominator. After that, multiply both fractions by the denominator, and you get two whole numbers.
6. If both A and B are whole numbers, Find the greatest common factor (GCF) of A and B, i.e. GCF (A, B), and divide A and B each by the GCF.

Example: Three persons A, B, and C start a business with an investment of 5000, 7000 and 6000, respectively. At the end of the financial year, they gained a profit of 18000. What are their profits share based on their investment?
Solution: As per A=5000, B=7000, and C=6000 investment, the ratio is 5:7:6. Since the investment ratio is 5:7:6, the profit for persons is divided as 5x, 7x and 6x for A, B, & C, respectively.
To find the profit-sharing for each person, find the sum of all ratio
$5x+7x+6x=18000$
By solving this equation for x, we obtain
$x=\frac{18000}{18}=1000$
The profit for person A is 5⋅1000=5000, the gain for person B is 7⋅1000=7000, and the profit for person C is 6⋅1000=6000.
To verify the resulting sum up all the profit share should bring a total profit of 18000.

Attempt 10th CBSE Exam Mock Tests

Ratio Calculator – Solved Examples

Example 1: Simplify the ratio 8 : 36
Solution: Factors of 8: 1, 2, 4, 8
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
The greatest common factor (GCF) of 8 & 36 is 4.
Divide both terms by 4
8 ÷ 4 = 2
36 ÷ 4 = 9
Rewrite the ratio using the results 8 : 36 = 2 : 9 in the simplest form. The simplified ratio is 2 : 9.

Example 2: Simplify the ratio 3:8
Solution: Factors of 3 are 1, 3
Factors of 8 are: 1, 2, 4, 8
The greatest common factor of 3 and 8 is 1 as no other GCF number is available except 1.
You can conclude that if the GCF is 1, then the ratio is already in simplest form.

FAQs

The frequently asked questions on Ratio Calculator are:

Q. Where is Ratio Calculator used?
A. The ratio is applied to all physical quantities, finance, and numbers such as investment, profit, loss, time taken, time, work, distance, speed, etc.

Q. How to Calculate Ratio in Calculator?
A. Follow the procedure given on this page and calculate the ratio of the given numbers.

Q. What is the ratio of 3 to 1?
A. A ratio of 3:1 means that there are 4 parts altogether.

Q. How do you simplify a ratio?
A. Ratios can be thoroughly simplified, just like fractions. To simplify a ratio, divide all of the numbers in the ratio by the same number until they cannot be divided.

Q. How do I calculate a ratio as a percentage?
A. Ratios are often expressed in the form m:n or m/n. To convert a ratio into a percentage, divide m by n and multiply the result by 100.

Don’t stop to only this topic and explore more abundance topics on embibe.com and boost your learning in a simple and easy way.