A fraction is a number the represents a component of a whole. Fractions are frequently written together

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wherein a and b are any number and also b is not equal come 0. In a fraction, the height number is described as the numerator, and also the bottom number is referred to as the denominator:

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While the term "fraction" generally refers come "common fraction," (the kind described here) fractional number can likewise be expressed as decimal fractions and percents. There are a number of different species of fractions including improper fractions, reciprocals, equivalent fractions, and also more.

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Slices of pizza deserve to be a great way to snapshot fractions. In a pizza that has 8 slices, 1 slice is a fraction of the whole pizza, created as

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. 2 slices would certainly be
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, 3 slices
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, and also so on. In this example, the peak number, well-known as the molecule is the number of slices the pizza we have, when the bottom number, the denominator, is the total variety of slices of pizza in the entirety pizza.


Example

In the number below, the fractions stand for how plenty of slices the the totality pizza have pepperoni on them.

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For every pizza, how plenty of slices that the pizza only have actually cheese on it?

One way to solve this is to counting the variety of slices that pizza the only have actually cheese ~ above them. Another way is to subtract the number of pepperoni slices indigenous the total number of slices in the pizza. Because each pizza has 8 slices:

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Equivalent fractions

Equivalent fractions are widely offered when working v fractions. Because that example, detect a typical denominator, which entails converting a portion into an additional equivalent fraction, is vital to perform portion addition and also subtraction. Simplifying fractions likewise results in identical fractions.

We deserve to talk around having 2, 4, 6, or even 8 slices of pizza. In these cases the fractions would be created as

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respectively; the fractions can more be streamlined or decreased as follows:

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These are well-known as indistinguishable fractions. Having 2 slices out of 8 that a pizza is identical to one fourth of the pizza, and so on. Fractions have the right to be reduced when the numerator or denominator re-superstructure a factor. The fraction

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is same to 1, and also is an equivalent portion to any number split by chin (except for 0).

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See likewise common fraction, decimal fraction, fountain number, percentage, rational numbers.