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How do you simplify and make the fraction \[\dfrac{5}{{12}}\] into a decimal?

Answer
VerifiedVerified
515.4k+ views
Hint: In this question, we need to simplify the fraction converting into a decimal is one of the most basic calculations you can do. In order to make \[\dfrac{5}{{12}}\] to a decimal numerator, which is \[5\] , and divide it by denominator, which is \[12\] to get the final answer. Fractions are part of a whole or a set that are similar in size. When we divide something into equal parts, each part becomes a fraction of the whole. Fraction of a collection, for example: Fractions may also reflect sections of a set or collection.

Complete step by step solution:
In this given problem,
Let the fraction, \[\dfrac{5}{{12}}\]
We needs to make the fraction into a decimal
Since, \[\dfrac{5}{{12}}\] does not cancel, it cannot be condensed.
It does not convert to an equivalent fraction, which aids in the decimal portion.
Here's a simple trick you can use to instantly convert every fraction to a decimal: Divide the numerator by the denominator as follows:
Take the fraction number, \[\dfrac{5}{{12}}\]
By simplify the fraction of \[5\] can be divide by \[12\] , we get
 \[\dfrac{5}{{12}} = 5 \div 12\]
Now, to simplify we can get
 \[\dfrac{5}{{12}} = 0.4166\] . Since, \[0.41666666666667\] is the decimal representation of \[\dfrac{5}{{12}}\] .
Therefore, the fraction can be simplified and we get the decimal is \[0.4167\]
So, the correct answer is “ \[0.4167\] ”.

Note: We note that the given fraction, \[\dfrac{5}{{12}}\] as a decimal is \[0.41666666666667\] . Here, we had more to tell you about converting a fraction into a decimal but it really is that simple and there's nothing more to say about it. In Mathematics, there are three major types of fractions. They are proper fractions, improper fractions and mixed fractions. Fractions are those terms which have numerator and denominator. Based on these two terms we define its types.
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