Question

By what percent will the fraction increase if its numerator decreased by 30% and the denominator decreased by 50%

Answer 1

140%

Explanation:

since the numerator decreases by 30%, it isnt 70% the original value, This gives a formula: . You can rewrite the fraction as so, in doing so it's easy to see that you can cancel out the 0.5 and get: . This means the value is increasing by 1.4 or 140%.

Answer 2

140%

Explanation:

So a fraction can be expressed as:
`(a)/(b)` and if a number decreases by x%, the new number is (100-x)% the original value. So since the numerator decreases by 30%, it's not 70% the original value, and it's very similar with the denominator, with it only retaining 50% of it's original value. This gives you the formula:
`(0.70a)/(0.50b)`. You can rewrite the fraction as:
`(1.4 * 0.5 * a)/(0.5 * b)` in doing so it's easy to see that you can cancel out the 0.5 and get:
`1.4(a)/(b)`. This means the value is increasing by 1.4 or 140%