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# Ratio to Fraction Calculator

The ratio to fraction calculator allows you to convert a ratio or ratio share into a Fraction. In addition, the calculator also displays the fractions reduced to their simplest form and provides detailed ratio formula for the calculation and conversion of ratios to fractions.

 Select Type of RatioPart to Part (Share)Part to Whole (Ratio) Ratio Numerator : Ratio Denominator Share a: : Share b:
Ratio to Fraction Calculator Results ## Good things to Know Before Using the Ratio to Fraction Calculator

The ratio and fraction calculator developed by iCalculator is an online calculator for anyone and everyone who needs fast ratio to fraction conversions.

If all this sounds like rocket science or is simply too nerdy to you, don't worry. For the time being, we will talk about two kinds of ratios and their conversion into fractions. As you get to know ratio to fraction conversion better, you'll realize why you need ratio to fraction calculator.

iCalculator developed the ratio to fraction calculator to allow you to convert part to part ratio to fractions as well as part to whole ratio of fractions. To better understand how this calculator performs this feat, let's review what these two types of ratio to fraction conversions are.

## Part to Part Ratio to Fraction Conversion

The part to part ratio is the ratio between to different groups, the relation between them. Suppose there 5 girls to every 3 boys in a classroom. Or there are 5 apples and 3 bananas in a fruit bowl.

Now, considering there are no other parts, the part to part ratio to fraction conversion in such and incident will be 5/3.

### Part to Whole Ratio to Fraction Conversion

While part to part ratio compares the two distinct groups, the part to whole ratio is the relation between the part and the whole population. Once again, considering there are no other groups, the part to whole ratio to fraction conversion of girls in the whole class room will be 5/8 while that of boys, it will be 3/8.

## How Ratio to Fraction Calculator Works

If A and B are the only parts of the population of a given instance, you can figure out 3 fractions. One fraction will be for the part to part ratio and the other two will be for the part to whole ratios.

This all can be done using the following formula:

A / B

### Part to Whole Ratio to Fraction

A / (A + B)
B / (A + B)

The algorithm behind our ratio to fraction calculator works on the same logic and works at a lightning fast speed. So, all you need to do is enter the value of A and B. afterwards, you can choose to toggle between part to part ratio to fraction conversion and part to whole ratio to fraction conversion.

## Uses of Ratio to Fraction Calculator in Real Life

Among all the branches of mathematics, the knowledge of ratio to fraction conversion is most helpful while working with probability. Probability is defined as the ratio between the success of an event and the total number of outcomes.

Given that there's only success and failure, the probability of, say for example, a dice rolled showing up 1, will be 1/total number of outcomes. Here, total outcomes are the sum of success and failure, which is 1+5 = 6. Thus, the chances of the dice rolling up 1 are 1/6. On the other hand, the probability of 1 NOT showing up will be 5/6.

That's part to whole ratio to fraction conversion. Moving to part to part ratio to fraction conversion, it is the fraction of success rate and failure rate, which turns out to be 1/5.

## Conclusion

The ratio to fraction calculator also helps you calculate the right amount of volume or quantity to create a mixture. From making interesting cocktails to striking the right balance of cream and coffee to make the perfect coffee, ratios revolve around us in the most charming way we can possibly fathom.

That said, finding the mere ratio is not enough, you also need to convert it into fractions to know what lies in the details. From how two political groups stand against each other to how much they comparatively contribute to the economic system, the ratio to fraction calculator illustrates this in less than the time it takes you to blink. By transposing the ratio to a fraction, we make those comparisons simpler to understand and easier for those less familiar with ratios to understand.

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