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Solved Real-World Problem of Fraction

QUESTION: What is the fraction of the class that is girls and that
which is boys in a class of 20 students and 8 girls?

SOLUTION:

Here,
total number of students are 20.

 

Among
20, 

8
are girls so means rest are boys.

That
is, 20 – 8 = 12 boys.

 

In
a fraction the denominator 
(the number at the bottom) represents total
number of parts in which the whole is divided.

And
the numerator 
(the number at the top) represents the selected
part of total.

 

So,
fraction of girls = \frac8{20}

 

Divide both numerator and denominator by 4 to simplify

 

fraction of girls = \frac{8\div4}{20\div4} = \frac{2}{5}

 

and

 

fraction of boys = \frac{12}{20}

 

Divide
both numerator and denominator by 4 to simplify

 

fraction of boys = \frac{12\div4}{20\div4} = \frac{3}{5}

 

SOME MORE INFORMATION:


 

In the above diagram, you can see that the fraction \frac{2}{5} and
\frac{8}{20}
are equal selected parts, although the left one is divided into
5 equal parts and the right one is divided into 20 equal parts. These are
called 
EQUIVALENT FRACTIONS.

 

Similarly, \frac{3}{5} and \frac{12}{20} are equivalent fractions.

 

Try out this practice question and share its answer in comment below. Let me see how you do.

 

In the class of 30 students, 3 students don’t like
chocolates. What is the fraction of students who like chocolate?

 

RELATED POST:

How to simplify a fraction by Highest Common Factor(HCF)

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