How to convert fractions come decimals.

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Fractions and also decimals room two usual ways to write out partial numbers. Here"s who to turn one right into the other.

How to handle fractions

Fractions are a common means of writing out partial numbers. A fraction usually means a number of equal components like "one half" and also "two thirds." This is composed as one entirety number over another whole number. "Two thirds" would be composed out as 1/3.

To usage fractions, we require to figure out what number goes on top, and also what go on bottom. The number on height is dubbed the numerator; this is the variety of parts we have actually (Two thirds). The number top top bottom is called the denominator; this is how numerous of those components make one totality (Two thirds).

Because a portion means a "part" that something, we call fractions "proper" if the number on optimal is smaller sized than the number top top bottom (this means that that is much less than 1). If the number on height is bigger we call it an wrong fraction.

Improper fountain can additionally be created out together a mix that a whole number and also a fractions. This are dubbed mixed numbers.

Sometimes fractions have the right to be composed differently but have the very same value. 1/3 is the very same as 2/6. These are called equivalent fractions. The method to acquire equivalent fractions is the multiply or divide the top and bottom numbers by the exact same number. In basic you desire to divide down to the the smallest numbers you can; this is called simplifying fractions.

How to take care of decimals

A decimal is another way of showing a partial number. It"s called a "decimal" since it"s done in groups of ten ("dec-" in Latin), prefer normal numbers. With a decimal, though, the numbers go after the 1s place rather of before. The number of places us go past 1 are called decimal places. To store things simple, we mark off the start of these decimal numbers through a decimal suggest or period. An instance would be 1.1 or 5.6

The best method to calculation decimals is using lengthy division. That"s a bit of an connected process, so we won"t walk over that step by step here. The essential thing to recognize is that, many of the time, you just want to write out come the second decimal ar (or the "hundredths" place).

Converting fractions into decimal numbers

Converting fractions to decimal is simple once you know your division. To rotate a portion into a decimal, divide the numerator by the denominator. For this reason if you have 3/4, division 3 by 4.

The result won"t constantly have a basic answer. In part cases, there is no easy means to divide. 1/3, because that example, comes the end to .33 (with much more 3s walking on forever). This are referred to as repeating decimals. You display that a decimal repeats by illustration a line end the last 2 numbers.

Convert decimals to fractions

To convert a decimal into a fraction, you just need to do the same process in reverse. Create a fraction with the decimal as the numerator and "1" together the denominator. Climate multiply castle both through ten as countless times as you should get entirety numbers top top top and also bottom. This will provide you a fraction.

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For example, .63/1 will become 63/100 after we multiply the top and bottom through 100.

.05/1 will become 5/100. In this case, we have the right to simplify the fraction down come 1/20. So, .05 = 1/20

Some usual decimals and fractions


FractionDecimalPercent
1/20.550%
1/30.333?33.333?%
2/30.666?66.666?%
1/40.2525%
3/40.7575%
1/50.220%
2/50.440%
3/50.660%
4/50.880%
1/60.1666?16.666?%
5/60.8333?83.333?%
1/80.12512.5%
3/80.37537.5%
5/80.62562.5%
7/80.87587.5%
1/90.111?11.111?%
2/90.222?22.222?%
4/90.444?44.444?%
5/90.555?55.555?%
7/90.777?77.777?%
8/90.888?88.888?%
1/100.110%
1/120.08333?8.333?%
1/160.06256.25%
1/320.031253.125%