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33 1/3% of what number is 25?

User Igonato
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For a given number N, the 33 1/3 % of it is equal to 25.

This means that:


N\cdot(33(1)/(3))/(100)=25

This is equivalent to:


N=(100)/(33(1)/(3))\cdot25

Write 33 1/3 as an improper fraction:


33(1)/(3)=33+(1)/(3)=(33\cdot3)/(3)+(1)/(3)=(99)/(3)+(1)/(3)=(100)/(3)

Substitute that expression in the equation for N:


N=(100)/(((100)/(3)))25=(100)/(100)\cdot3\cdot25=3\cdot25=75

Therefore, 33 1/3 % of 75 is 25.

User Guillem
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