For example:12here 1 is the numerator and also 2 is the denominator. It is stood for by the number given below:
Here, the shape is split into 2 same parts, thus the denominator is 2 and 1 the end of 2 parts is shaded, thus the molecule is 1.
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Simplest type of a fraction
A fraction is said to be in that is simplest form if 1 is the only usual factor of its numerator and also denominator. For example,89,because 1 is the only usual factor of 8 and also 9 in this fraction.
We leveling fractions due to the fact that it is always to work or calculate when the fractions space in the easiest form.
Simplifying proper and improper fractions
Find the highest usual factor (HCF) of the numerator and denominator.
Divide both the numerator and denominator through HCF.
Example 1: examine if the fraction715is in its easiest form?
Solution: components of molecule 7 = 1, 7
Factors that denominator 15 = 1, 3, 5, 15
We have the right to see the 1 is the only typical factor of 7 and also 15
Therefore,715in its simplest form.
Example 2: Reduce1218in its most basic form.
Solution: factors of 12 = 1, 2, 3, 4, 6, 12
Factors that 18 = 1, 2, 3, 6, 9, 18
Highest typical factor (HCF) that 12 and also 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 blended fraction
Steps:Find the highest typical factor (HCF) of numerator and denominator of the fraction.Divide both the numerator and also the denominator by HCF to obtain the simplified fraction.Write the whole and also the simplified fraction together.
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Example 4: Matthew has31216of ice cream. Exactly how much ice cream go he have in its easiest form?
Solution: determinants of 3 12 16 = 1 4 12 = 1, 2, 3, 4, 6, 12
Factors of 16 = 1, 2, 4, 8, 16
Highest typical factor (HCF) the 12 and also 16 = 4
Dividing the numerator and denominator by 4 (HCF), we get
12÷4 16÷4 = 3 4
Hence, Matthew has 31216of ice cream cream v him in its simplest form.
fun Facts:The word portion comes native the Latin word ‘Fractio’ which method to break.Every entirety number deserve to be written as a fraction. Because that example, 2 can be written as21