For example:12here 1 is the numerator and 2 is the denominator. It is represented by the number given below: Here, the form is separated into 2 equal parts, thus the denominator is 2 and also 1 out of 2 parts is shaded, thus the molecule is 1.

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Simplest kind of a fraction

A portion is stated to it is in in the simplest form if 1 is the only common factor the its numerator and also denominator. Because that example,89,because 1 is the only common factor of 8 and 9 in this fraction.

We leveling fractions since it is constantly to work or calculate when the fractions space in the easiest form.

Simplifying proper and also improper fractions

Steps:

Find the highest typical factor (HCF) the the numerator and also denominator.

Divide both the numerator and denominator through HCF.

Example 1: check if the fraction715is in its most basic form?

Solution: components of molecule 7 = 1, 7

Factors the denominator 15 = 1, 3, 5, 15

We can see that 1 is the only typical factor the 7 and 15

Therefore,715in its simplest form.

Example 2: Reduce1218in its simplest form.

Solution: determinants of 12 = 1, 2, 3, 4, 6, 12

Factors that 18 = 1, 2, 3, 6, 9, 18

Highest usual factor (HCF) that 12 and 18 = 6

Dividing the numerator and also the denominator through 6 (HCF), we get

12÷6 18÷6 = 2 3

Hence,23is the simplest type of the fraction1218.

Simplifying a mixed fraction

Steps:

Find the highest typical factor (HCF) that numerator and denominator the the fraction.Divide both the numerator and the denominator through HCF to get the streamlined fraction.Write the whole and also the simplified fraction together.

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Example 4: Matthew has31216of ice cream. Just how much ice cream cream does he have actually in its simplest form?

Solution: factors of 3 12 16 = 1 4 12 = 1, 2, 3, 4, 6, 12

Factors that 16 = 1, 2, 4, 8, 16

Highest common factor (HCF) that 12 and 16 = 4

Dividing the numerator and also denominator by 4 (HCF), us get

12÷4 16÷4 = 3 4

Hence, Matthew has 31216of ice cream with him in its easiest form.

 fun Facts:The word portion comes native the Latin indigenous ‘Fractio’ which way to break.Every totality number have the right to be written as a fraction. For example, 2 have the right to be written as21