Question

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

Answer 1

Answer:

140%

Step-by-step explanation:

So a fraction can be expressed as: $\frac{a}{b}$ 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: $\frac{0.70a}{0.50b}$. You can rewrite the fraction as: $\frac{1.4 * 0.5 * a}{0.5 * b}$ in doing so it's easy to see that you can cancel out the 0.5 and get: $1.4\frac{a}{b}$. This means the value is increasing by 1.4 or 140%