How to convert fractions come decimals.

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

How to handle fractions

Fractions room a common way of creating out partial numbers. A portion usually means a number of equal parts like "one half" and "two thirds." This is written as one entirety number over one more whole number. "Two thirds" would certainly be created out together 1/3.

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

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

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

Sometimes fractions deserve to be created differently yet have the very same value. 1/3 is the very same as 2/6. These are called equivalent fractions. The method to acquire equivalent fountain is the multiply or division the top and bottom number by the very same number. In general you desire to divide under to the the smallest numbers girlfriend can; this is dubbed simplifying fractions.

How to take care of decimals

A decimal is another way of reflecting a partial number. It"s called a "decimal" since it"s excellent in teams of ten ("dec-" in Latin), prefer normal numbers. V a decimal, though, the numbers pursue the 1s place instead of before. The variety of places us go beyond 1 are dubbed decimal places. To store things simple, we mark off the begin of this decimal numbers through a decimal allude or period. An instance would be 1.1 or 5.6

The best method to calculation decimals is using long division. That"s a bit of an associated process, so us won"t walk over that action by step here. The important thing to recognize is that, many of the time, you just want to write out to the 2nd decimal location (or the "hundredths" place).

Converting fractions into decimal numbers

Converting fractions to decimals is basic once you recognize your division. To revolve a fraction into a decimal, division the numerator by the denominator. Therefore if you have actually 3/4, divide 3 by 4.

The result won"t constantly have a straightforward answer. In some cases, there is no easy way to divide. 1/3, because that example, comes the end to .33 (with an ext 3s walk on forever). These are called repeating decimals. You present that a decimal repeats by illustration a line over the last 2 numbers.

Convert decimals to fractions

To convert a decimal right into a fraction, you just have to do the same procedure in reverse. Create a portion with the decimal together the numerator and also "1" as the denominator. Climate multiply them both by ten as many times together you have to get totality numbers on top and bottom. This will provide you a fraction.

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

.05/1 will end up being 5/100. In this case, we have the right to simplify the portion 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%