If the numerator of a fraction is increased by 240% and the denominator of the fraction is decreased by 50%, the resultant fraction is 2(5/6). what is the original fraction?
Answers
Let the numerator be x and the denominator be y.
Then the original fraction = (x/y).
Now,
Given that the numerator increased by 240% and denominator decreased by 50%.
= > (x + 240 % of x)/(y - 50% of y) .
= > (x + 240x/100)/(y - 50y/100)
= > (x + 2.4x)/(y - 0.5y).
= > 3.4x/0.5y
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Given that the resultant fraction is 2(5/6) = 17/6
= > (3.4x)/(0.5y) = (17/6)
= > (x/y) = (0.5 * 17)/(3.4 * 6)
= > (x/y) = (8.5)/(20.4)
= > (x/y) = 85/204
Cancel the common factor : 17.
= > (x/y) = 5/12
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Therefore, the original fraction = (5/12).
Hope this helps!
Answer:
25/34
Step-by-step explanation:
120%=====6/5
1======1(initial faction)
X×340%/Y×250%====1
34X/25Y===1
X/Y===25/34