in a city 7/20 of the population are women and 1/4 are children. find the fraction of the population of men
Answers
Answer:
2/5
Step-by-step explanation:
In fractions,
Population of men+population of women+population of children=1.
Therefore, population of men can be expressed as:-
1-([7/20]+[1/4])
[20-(7+5)]/20
[20-12]/20
8/20
=2/5
Concept:
A fraction represents a part of the whole. The top number is called the numerator and the below number is called the denominator.
Given:
The population of women = 7/20
The population of children = 1/4
Find:
We have to find the fraction of population of men.
Solution:
Let the total population of the city be 1.
So, we can write
The population of men + population of women + population of children = total population
Population of men + 7/20 + 1/4 = 1
Population of men = 1 - 7/20 - 1/4
Now, make the denominator equal in the above equation
Population of men = 20/20 - 7/20 - 5/ 20
Population of men = (20 - 7 - 5)/20
Population of men = 8/20
Population of men = 2/5
Hence, the population of men in the city is 2/5.
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