How to convert fractions to decimals.

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Fractions and also decimals room two usual ways to compose out partial numbers. Here"s that to rotate one right into the other.

How to tackle fractions

Fractions space a common way of composing out partial numbers. A fraction usually way a variety of equal components like "one half" and also "two thirds." This is composed as one totality number over another whole number. "Two thirds" would be composed out together 1/3.

To usage fractions, we need to figure out what number goes on top, and also what walk on bottom. The number on top is called the numerator; this is the number of parts we have (Two thirds). The number ~ above bottom is referred to as the denominator; this is how numerous of those components make one entirety (Two thirds).

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

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

Sometimes fractions deserve to be created differently yet have the exact same value. 1/3 is the very same as 2/6. This are called equivalent fractions. The method to get equivalent fractions is the main point or divide the top and bottom number by the same number. In general you want to divide under to the smallest numbers friend can; this is called simplifying fractions.

How to handle decimals

A decimal is another method of reflecting a partial number. It"s dubbed a "decimal" due to the fact that it"s done in groups of ten ("dec-" in Latin), prefer normal numbers. V a decimal, though, the numbers go after the 1s place instead of before. The variety of places us go beyond 1 are called decimal places. To keep things simple, we mark off the start of this decimal numbers with a decimal point or period. An instance would it is in 1.1 or 5.6

The best method to calculate decimals is using long division. That"s a little bit of an involved process, so we won"t walk over that step by action here. The necessary thing to recognize is that, most of the time, you only want to write out come the second decimal place (or the "hundredths" place).

Converting fractions into decimal numbers

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

The an outcome won"t always have a straightforward answer. In part cases, over there is no easy way to divide. 1/3, for example, comes out to .33 (with much more 3s walk on forever). These are dubbed repeating decimals. You show that a decimal repeats by drawing a line end the last 2 numbers.

Convert decimals to fractions

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

See more: For The Same Insolation, Order These Regions From Highest Absorption To Lowest.

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

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

Some common decimals and also 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%