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Ratio Simplifier

Want any assistance in simplifying the Ratio of two numbers? Then, this Ratio Simplifier is the best option for you. Simply enter the values in the input field of the calculator and then hit on the calculate button to avail the output immediately.

Ex.4 : 16 (or) 4(1/2) : 16 (or) 4(1/2) : 1(6/9)




 

Here are some samples of Ratio Simplifier calculations.

Ratio Simplifier: Ratios are used in many diverse activities of our life and it is a way to define the relation between two relevant numbers. To simplify the ratio of two whole numbers or mixed numbers it takes a huge time of your while doing homework or assignments. For saving your valuable time we have come up with the best solutions ie., Ratio Simplifier Tool. This Tool can make your ratio calculations easy by calculating just giving the input numbers or fractions. You can avail the result along with a detailed show work so that you can learn & understand the concept.

How to Simplify the Ratio of Numbers Easily?

Simplification of ratios of form A : B can be of two ways where A, B can be whole numbers, integers, decimal numbers, fractions, or mixed numbers. You can find a ratio between two numbers that can be in different types like fractions to decimal, whole to decimal, decimal to decimal, or etc. and the simplest form of ratio values can be positive or negative. So, check out the two approaches to simplify the ratio of A & B from the below steps:

Approach 1: Procedure to Simplify Ratio A : B, when both are whole numbers

  • First, find out the factors for A and B
  • Later, find the greatest common factor of A and B, GCF(A, B)
  • Next, Divide A and B each with the GCF
  • After doing the above step, you will get the result as two whole numbers in the simplest form.

Approach 2: Procedure to Simplify Ration A : B, when A and B are not whole numbers

  • First and foremost, check if A and B are mixed numbers or whole numbers if any one of the numbers is in mixed form convert mixed numbers to improper fractions.
  • If they are in decimal form, multiply both values by a similar factor of 10 to eliminate all decimal places.
  • If you have one whole number and one fraction, then simplify fraction to whole or convert the whole number to a fraction by giving the denominator as 1.
  • If A and B are fractions and have like denominators, product the two fractions by the denominator to cancel it, and you left with two whole numbers.
  • If A and B are fractions and have different denominators, calculate the LCD(A, B) and revise the fractions with the LCD as the denominator. Now, multiply both fractions with the denominator to cancel it and left with two whole numbers.
  • After getting the whole numbers if possible reduce them to the simplest form.

Example

Question: Simplify the ratio 10:6?

Solution:

First, check the given numbers are whole numbers or fractions or decimals.

Here, we have two whole numbers as the ratio 10:6

In step-1: find the fractions for both 10 and 6

  • The factors of 10 are: 1, 2, 5, 10
  • The factors of 6 are: 1, 2, 3, 6

In step-2: find the GCD of 10 and 6

The Greatest Common factor of 10 and 6 is the smallest factor ie., 2.

In step-3: Divide both terms by 2

10 ÷ 2 = 5 and 6 ÷ 2 = 3

Therefore, The simplified ratio is 5 : 3 (in the simplest form).

Ratio Simplifier Calculator

FAQs on Ratio Simplifier Tool

1. What is meant by Ratio?

A ratio is a measurement of the value of two numbers. The ratio A : B is defined as "A to B" and illustrates the relative proportion of two amounts.


2. How do you simplify a ratio manually?

To simplify the ratio between two numbers manually, you need to find factors and then GCD of two numbers, later divide both numbers by GCD to get the simplified ratio of given inputs.


3. How to Solve a ratio using a Ratio Simplifier Tool?

With the help of Multiplyfractions.com provided Ratio Simplifier Tool, you can easily simplify ratios by changing all values to whole numbers then reducing the whole numbers to the simplest form using the greatest common factor (GCF).


4. How to use a Ratio Simplifier?

Just provide the input values in the input provision and tap on the calculate button to get the ratio in the simplest form within a fraction of seconds along with show work.