How to transform fractions to decimals.

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Fractions and also decimals space two typical ways to create out partial numbers. Here"s that to rotate one into the other.

How to tackle fractions

Fractions space a common method of writing out partial numbers. A portion usually way a number of equal components like "one half" and also "two thirds." This is created as one entirety number over another whole number. "Two thirds" would be written out as 1/3.

To usage fractions, we need to number out what number go on top, and what goes on bottom. The number on top is dubbed the numerator; this is the number of parts we have actually (Two thirds). The number ~ above bottom is called the denominator; this is how countless of those components make one whole (Two thirds).

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

Improper fractions can also be composed out together a mix that a totality number and a fractions. These are called mixed numbers.

Sometimes fractions have the right to be written differently yet have the same value. 1/3 is the exact same as 2/6. These are called equivalent fractions. The way to acquire equivalent fountain is the main point or division the top and also bottom numbers by the same number. In general you desire to divide under to the the smallest numbers you can; this is dubbed simplifying fractions.

How to take care of decimals

A decimal is another way of reflecting a partial number. It"s dubbed a "decimal" since it"s done in teams of ten ("dec-" in Latin), choose normal numbers. V a decimal, though, the numbers go after the 1s place instead of before. The number of places we go past 1 are called decimal places. To save things simple, we note off the begin of this decimal numbers with a decimal allude or period. An instance would it is in 1.1 or 5.6

The best method to calculate decimals is using lengthy division. That"s a little bit of an connected process, so us won"t go over that action by step here. The important thing to know is that, many of the time, you only want to write out to the second decimal location (or the "hundredths" place).

Converting fractions right into decimal numbers

Converting fountain to decimal is an easy once you understand your division. To revolve a portion into a decimal, division the numerator by the denominator. So if you have actually 3/4, division 3 through 4.

The result won"t always have a simple answer. In some cases, there is no easy means to divide. 1/3, because that example, comes out to .33 (with an ext 3s walking on forever). This are referred to as repeating decimals. You display that a decimal repeats by illustration a line over the last 2 numbers.

Convert decimals to fractions

To transform a decimal into a fraction, friend just need to do the same process in reverse. Produce a portion with the decimal as the numerator and "1" as the denominator. Then multiply them both through ten as many times together you should get whole numbers ~ above top and also bottom. This will give you a fraction.

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For example, .63/1 will come to be 63/100 after we multiply the top and also bottom by 100.

.05/1 will end up being 5/100. In this case, we deserve to simplify the fraction down to 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%