Ratio Comparison Calculator that allows you to compare two or more ratios to see if ratios are the same (you can compare up to 10 ratios using this ratio calculator). This ratio calculator also allows you to calculate and compare equivalent ratios to confirm if one ratio is equal to another ratio, you can choose the method of calculation that you prefer, ration comparison can be calculated using either ratio to fraction, ratio to percentage or ratio to decimal. The options are equally accurate but each allows you to see how the two ratios are compared using the different mathematical approaches.
Once the Ratio Comparison Calculator has compared the ratios entered it will highlight (with a green background) the ratios which are the same as the ratio being compared and produce a table of the equivelent ratios.
|Ratio to Fraction||Ratio to Percentage||Ratio to Decimal|
|The ratio 1:2|
|is equal to the following ratios|
Attention! When the background is red, the ratios are not equal. When the background is green, the ratios are equal and the calculations will be displayed.
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Why do we need to Compare Ratios?
It may seem an odd thing, why do we compare ratios? The answer comes in many shapes and forms, you could be mixing the right ratio of concrete to build a concrete foundation on a building site where there are three separate size wholes to consider or you could be considering the portion size of calories in a pizza where you have a number of pizzas and friends coming over, some may eat less pizza, other more and you want to consider how you slice your pizza to make sure there is enough pizza to go round and/or the right calorie/portion size. These are just two simple examples of ratios in everyday life where you can have several ratios and may need to consider if those ratios are the same. It truly is amazing how many situations require you to calculate a ratio.
A simple ratio like 1:2, 2:4, 3:9, 4:16, 5:15 etc. are very easy to visualise and comparing ratios when they are low numbers can be a fairly straight forward task using mental arithmetic, in fact, the brain probably calculates and compares these simple ratios and forms a conclusion before you have even started to write down the manual formula and started to compare the ratios with pen and paper.
Not all ratios are this simple though and complex ratios like 1234:98375, 194:2918, 177:199, 1982:1028763 can be very tricky to compare. When comparing these ratios it is normally quicker to use a ratio comparison calculator like this one provided by iCalculator as it allows you to compare several ratios at the same time and see if the ratios are the same, regardless of how complex the ratio is. You can also use the Ratio Comparison Calculator to check your answers where your compare two or more ratios manually, this is particularly useful for checking that you are using the correct math formula and computations when studying math.
How to Compare Ratios
You can compare ratios by either visually comparing them and using mental arithmetic to see if the two ratios are the same or you can use math formula to compare the ratios. Mental arithmetic is perfect for simple ratio comparison but more complex ratios are best compared with math, particularly if you are working on a complex formula for physics, chemistry or maths or perhaps working out detailed tolerances as part of an engineering project. There are three separate ways of comparing two ratios using math formula, these are:
- Convert the ratio to a fraction
- Convert a ratio to a decimal
- Convert a ratio to a percentage
You can of course use these methods for comparing more than two ratios but you will typically compare one ratio to another repeatedly so we tend to refer to ratio comparison and comparing two ratios, even though you may need to compare several ratios. The important point is that whether you are comparing two ratios or twenty ratios, the method of calculating and comparing the ratios remains the same. Let's take a look at each method of comparing ratios in detail
As you have probably noticed, comparing two or more ratios initially requires the conversion of the ratios from their standard expression into an expression which makes comparison more practical. The process of converting a ratio is quite straightforward though it is important to ensure that the ratios is expressed in the same way. Specifically, is the ratio part-to-part or part-to-whole. Most ratios are expressed as part-to-whole, this means the initial number is part of the second number. for example 1:2 suggest the whole is 2 and part of the whole is one. A part-to-part ratio is where both the first and second numbers form part of a whole. So, if we use the ratio 1:2 again, 1 is part and two is also part so the whole is in fact 1+2. This means that in a part-to-part ratio, we actually have two ratios, from our example, 1:2 part-to-part is the same as the ratios 1:3 and 2:3 part-to whole ratios. For most situations, you will typically encounter part-to-whole ratios and we will proceed with the examples in this ratio tutorial using part-to-whole ratios.
Convert a ratio to a fraction
Converting a ratio to a fraction is a very simple process though can be trickier with more complex ratios. In simple terms, the first number in a ratio becomes the numerator of the fraction and the second number becomes the denominator of the fraction, lets look at this with a formula example:
A:B = A/B
We provide a more detailed tutorial and online calculator for Ratio to Fraction Conversion here.
Convert a ratio to a decimal
Converting a ratio to a decimal number is calculated by taking the first number of the ratio and dividing it by the second number within the ratio, lets look at this with a formula example:
A:B = A ÷ B
Convert a ratio to a percentage
Converting a ratio to a percentage is another straightforward calculation. You first repeat the steps required t convert a ratio to a fraction, specifically: take the first number of the ratio and divide it by the second number within the ratio. We then multiply our resulting decimal number by 100 to provided a percentage, lets look at this with a formula example:
A:B = ( A ÷ B) × 100
How to use the Ratio Comparison Calculator
- Choose whether to use the ratio calculator in full screen on normal view
- Select the number of ratios that you would like to compare
- Select the calculation method that you would like to use to compare the ratios, each one provides a select breakdown of calculations within the results
- Enter you first ratio, this s he ratio that you will compare all other ratios to
- Enter the additional ratios for your comparison
- That's it!! The Ratio Comparison Calculator will do the rest
We hope you found this guide and calculator for comparing two or more ratios useful. You should now have a good understanding of how to compare ratios, the methods for comparing ratios and of course you now have access to an excellent ratio calculator whenever you need to compare ratios. You may also wish to use our Equivalent Ratio Calculator which allows you to generate multiple ratios which are equal to the original ratio, this is handy when you need to express a ratio in a different numerical form.
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