Question

A fraction is reduced to 1/2 if 1 is added to its numerator and is reduces to 1/5.if the denominator of this new fraction is 1 more than the double of the former denominator.find the fraction

Answer 1

Step-by-step explanation:

The original fraction is 37

Explanation:

Let xy represent the fraction

The problem specifies

(a) Adding 1 to the numerator and denominator makes the fraction equal to 12

(b) Subtracting 1 from the top and bottom makes the fraction equal to 13

(a)  x+1y+1=12

(b)  x−1y−1=13

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Solve for x, already defined as "the numerator of the original equation"

These equations can be solved as Ratio&Proportion problems.

1) Cross multiply both equations

(a)   2(x+1)=1(y+1)

(b)   3(x−1)=1(y−1)

2) Clear the parentheses

(a)   2x+2=y+1

(b)   3x−3=y−1

3) Write the equations with the variables on the left and the numbers on the right

(a)