How to convert fractions into decimals

how to convert fractions into decimals (1)

Fractions and decimal amounts are only two distinct methods of representing numbers which are less than one. [1] Considering any amount under one could be represented with a fraction or a decimal, you will find particular mathematic equations that permit you to determine what the equivalent of a percentage will be in decimal form, and vice versa.

The percentage consists of 3 components: the numerator, that’s the very best region of the fraction,[two ] the slash, which extends between the two amounts, and also the denominator, that is the bottom part. [3]
The denominator represents the number of equal parts you will find in the entire world. By way of instance, a pizza may be cut into 8 bits. The denominator for the pizza could subsequently be”8″. Should you cut the exact same pizza into 12 pieces, then the denominator will be 12. In any event they signify exactly the identical whole, simply cut differently. [4]
The numerator represents part, or components, of the entire world. 1 piece of the entire pizza could be represented with the numerator”1″. Four pieces are represented with the numerator”4″.
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Know what a decimal number signifies. Decimals don’t use a slash to indicate what portion of this whole they signify. Rather, the decimal point to the remaining numbers suggests that the amounts are under one.
Decimals are also frequently read in a manner that shows their similarity to fractions. By way of instance, 0.05 would normally be read as”five-hundredths,” exactly the like 5/100. The percentage is represented with the amounts put to the right of the decimal point. Fractions and decimals are just differing representations of any worth that is less than one. How both are utilized for lots of the very same things means you will often have to convert them so as to add, subtract, or even compare them.
The simplest way to convert a percentage into a decimal would be to read the percentage as though it were a branch problem, together with the amount on top being split by the amount on the floor. [5]
The percent 2/3, by way of instance, may also be said as 2 divided by 3.
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Split the numerator of this fraction by the denominator of this fraction. You can do this math problem on mind, particularly if the numerator and denominator are multiples of one another, using a calculator, or using long branch .
An easy approach to do so is to just place the divisor (by way of instance, 2 would be the divisor in 1 divided by two ) on the floor and the dividend (1 would be that the volatility at 1 divided by two ) in addition to Multiply the decimal equal you obtained by the denominator of this fraction you began with. You should think of the numerator of this fraction you began with. This can allow you to comprehend the connection between fractions and decimals, in addition to improving your other fundamental math skills. The amounts 1,000 or 1,000,000 are powers of 10, but in the majority of practical applications of the process, you will probably just be using figures such as 10 or even 100.
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learn how to spot the simplest fractions which may be converted. Any portion that’s 5 because the denominator is a clear candidate, but fractions that have denominators of 25 are equally as readily transformed. Any number that currently has an exponent of 10 because its denominator will be quite simple to convert. The top of the second portion (the numerator) are exactly the same as its denominator. This produces the next percentage equivalent .
It’s a simple rule in mathematics that multiplying anything does not alter its value. It follows that if we multiply the first fraction we’d by a fraction that’s equivalent to one we aren’t modifying its worth, we’re just changing how we represent this value.
By way of instance, the percent 2/2 is actually only 1 (since two split by itself is equivalent to 1). If you’re attempting to convert 1/5 into a fraction with a denominator of 10, you’d multiply it by 2/2. The outcome will be 2/10. Multiply both numerators together and create the effect the numerator of this response. Then multiply the denominators and then create the effect the denominator of this response. You’ll be left with a brand new percentage. Afford the numerator of the new portion and unveil it using a decimal point in the end. Now examine the denominator and count the number of zeros are at the amount. Then move the decimal point in your rewritten numerator into the left the amount of spaces which are equivalent to the amount of zeros in the denominator.
For example, you have the amount 2/10. The denominator has just one zero. We begin by copying”two” as”2″ (this will not alter the value of this amount ) and then we move the decimal one area to the left.
You will soon learn how to do so with all kinds of amounts with simple denominators. After a time, this process gets fairly simple. You simply search for a percentage using a power of 10 denominator (or one which can be easily made into a single ) and convert the very best number to a decimal.
If you’d like to convert the portion really fast, you may just use a search engine on the world wide web to hunt for the response. By way of instance, you may type”1/4 Publish” or something comparable.
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Create flashcards with the percent on one side and it is decimal equivalent on the other side. Practicing these will allow you to memorize those fraction and decimal equivalents. This may be quite beneficial for fractions you use frequently.
Converting fractions to decimals is not hard, but to perform it, you will need to understand about decimal branch. In addition, you should understand how to address terminating and repeating decimals on your response.

Attach enough trailing zeros into the numerator so you may carry on dividing until you realize that the response is a terminating decimal or a repeating decimal.

Once the response is a terminating decimal
Occasionally, when you split the numerator of a fraction by the denominator, the branch eventually ends up equally. The outcome is a terminating decimal. The next examples show terminating decimals.

Suppose you would like to alter the fraction 2/5 into a decimal. Here is your initial step:

1 glance at this problem, and it seems as if you are doomed from the beginning since 5 does not enter two. But see what happens if you include some trailing zeros. Notice that you may also put a different decimal point in the answer just over the first decimal point. This measure is important:

You Can now split because, though 5 does not enter two, 5 will enter 20 four occasions:

You are done! As it turns out, you just wanted one trailing zero, so you can dismiss the remainder:

Since the branch worked out equally, the solution is a good illustration of a terminating decimal.

As another example, assume you would like to learn how to signify 7/16 as a decimal. You attach three trailing zeros:

In Cases like This, three trailing zeros are not enough to get your response, so you can connect some more and keep:

At last, the branch works out equally, so again the solution is a terminating decimal.

After the response is a repeating decimal
Sometimes once you attempt to convert a fraction into a decimal, the branch never works out equally. The outcome is a repeating match — which isa decimal that spans through precisely the identical amount pattern indefinitely.

You will realize these little critters out of the calculator, even when a seemingly simple division problem produces a very long series of numbers.

By way of instance, to alter 2/3 into a decimal, start by dividing 2 . Start out by incorporating three trailing zeros and find out where it leads:

Now, you still have not found an specific answer. However, you may observe that a repeating pattern has grown from the branch. However many trailing zeros you connect into the number two, exactly the exact same pattern will last indefinitely. This response, 0.666…, is a good illustration of a playoff game. You can compose 2/3 as

The pub above the 6 means that in this match, the amount 6 repeats indefinitely. It’s possible to represent many straightforward fractions as repeating decimals. In reality, every portion can be represented as a repeating decimal or as a terminating decimal — which is, as a normal decimal that finishes.

Now assume you wish to discover the decimal representation of 5/11. Here is the way this problem plays out:

This time, the pattern repeats another amount — 4, then 5, then 4 , then 5 , forever. Adding more trailing zeros into the first decimal is only going to string this out routine forever. So you can compose

This time, the pub is over the 4 and the 5, telling you that both of these numbers alternate indefinitely.

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