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Equivalent ratios are two ratios that express the same relationship between numbers. The equivalent ratio calculator is one of iCalculators Ratio Calculators which have been specially designed to allow you to calculate ratios and understand how ratios are calculated. Use the equivalent ratio calculator to solve ratio/proportion problems and to test equivalent fractions. A ratio of 1/2 can be entered into the equivalent ratio calculator as 1:2, 2/10 would be 2:10. The equivalent ratio calculator will then produce a table of equivalent ratios which you can print or email to yourself for future reference. The equivalent ratio calculator will also process decimal numbers, try entering 2.5 : 10 into the ratio calculator. We have also added some handy equivalent ratio examples so you can see how the ratio calculator works.

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.

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.

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

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

- Aspect Ratio Calculator
- Equivalent Ratios Calculator
- Ratio Division Calculator
- Ratio Calculator
- Ratio Simplifier Calculator
- Ratio to Fraction Calculator
- Golden Ratio Calculator

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

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.

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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