Equivalent Ratio Calculator

Equivalent ratios or equal ratios are two ratios that express the same relationship between numbers as we covered in our tutorial on scaling up ratios. The ratio formula and ratio tutorial are provided below the ratio calculator. You can use this equivalent ratio calculator to solve ratio and/or proportion problems by comparing a ratio against an equivalent ratio of the same proportions where the numerator and denominator are a direct multiplication of the multiplying value (m_x).

Looking for a different type of ratio calculator or tutorial? Use the quick links below to access more ratio calculators

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Equivalent Ratio Calculator
Ratio Numerator	:	Ratio Denominator
	:
How many equivalent ratios would you like?

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From our suite of Ratio Calculators this ratio calculator has the following features:

A ratio of 1/2 can be entered into the equivalent ratio calculator as 1:2. 2/10 would be 2:10, 3/4 would be 3:4 and so on
The equivalent ratio calculator will produce a table of equivalent ratios which you can print or email to yourself for future reference. You can select how many equivalent ratio examples you need.
The equivalent ratio calculator will process decimal ratio values, try entering 2.5:10 into this ratio calculator.

After using the Equivalent Ratio Calculator, other users found these ratio calculators useful:

The Equivalent Ratio Calculator by iCalculator is a good calculator for identifying up to 50 different equivalent ratios in just a few seconds with a good online calculator with supporting ratio formula and information

How to Calculate Equivalent Ratios

As we previously mentioned, Equivalent Ratios are two ratios that express the same relationship between numbers. The Equivalent Ratio Calculator provides a table of equivalent ratios that have the same relationship between each other and directly with the ratio you enter into the calculator. We will look at how to calculate equivalent ratios shortly, first lets look at how to use the free online equivalent ratio calculator:

Enter a Ratio into the equivalent ratio calculator, for example, you could enter 7:25
Select the number of equivalent ratios that you would like to see in the table of results
The equivalent ratio calculator will calculate as you type and produce a lis of equivalent ratios in a table below the calculator
[Optional] Print or email the Table of Equivalent Ratios for later use

As we can see, using the equivalent ratio calculator is a quick and easy way to calculate equivalent ratios. This is useful for quick math but you may wish to calculate equivalent ratio manually. That great, understand math formula and calculations is important, particularly ratio math as ratios are used in a significant number of business calculations, finance calculations and general day to day calculations, for example: miles per hour, your BMI, the amount of money your share or sweets you share with friends, these are all good examples of ratios. If you are still working on your mental arithmetic and manual ratio calculations, we suggest that you first enter the ratio into the calculator to see the results, then complete the manual math using the equivalent ratio formula. This way you can check your answers and build up your confidence.

How to Manually Calculate Equivalent Ratios

When calculating equivalent ratios it is important to understand that mathematically, you are expressing the same relationship, simply in different amounts. for example, if you have 10 sweets to share with 4 friends, this is the same and having 5 sweets to share with 2 friends in ratio terms. Although the quantities vary, the ratio of the numerator and denominator are the same (both can be divided by 2 in this instance). The important point to remember is that equivalent literally means equal, so what you are calculating is the same ratio expressed in different quantities. This can only be achieved via multiplication of division.

As equivalent ratios have the same value there is technically no equivalent ratio formula but the following equivalent ratio formula will help you with the manual math calculations.

Equivalent Ratio Formula

We have previously covered the numerator and denominator in the Fractions Calculator, if you are not familiar with the numerator and denominator or simply wish to refresh your memory please review that article and supporting calculator before proceeding.

n:d = n^a:d^a

where

n = numerator
d = denominator
a = multiplier

In our equivalent ratio formula, we can see that by multiplying both the numerator and denominator by the same amount (a) that we maintain the relationship with all equivalent ratio and our initial ratio from which we started the calculation

More Good Ratio Calculators

If you found the Equivalent Ratio Calculator, you will probably find the following ratio calculators useful:

What is a ratio?

A ratio is a direct comparison of one number against another. A ratio calculator looks to define the relationship that compares between those two numbers

Where are Ratio Calculations Used?

Ratios are used everywhere, from cooking with your favourite recipes to building housing, here are some common applications of ratios in everyday life:

Mechanics: spanners/wrenches are all marked with relevant ratios which correspond to the nuts they fit.
Businesses and accountants: use ratios for forecasting and financial controls (expense ratio, turnover ratio, debt ratio, asset ratio, price ratio, earnings ratio etc.)
Food: the correct diet has the right ratio of food groups (one of our five a day is a common ratio we are all familiar with.
Education: ensuring the right ratio of students to teachers is key for effective learning. Class sizes in terms of the ratio of pupils to a teacher is a common ratio concern.
Web Developers / SEO experts: these tech guys live and breathe ratios, from bounce rates to time on site, new visitors versus return visitors, ratios rule their lives.

How to Calculate Ratios

When calculating equivalent ratios you must multiply or divide both numbers in the ratio. This keeps both numbers in direct relation to each other. So, a ratio of 2/3 has an equivalent ratio of 4/6: in this ratio calculation we simply multiplied both 2 and 3 by 2.

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