Answer:
It is increased by 100%. The numerator is two times more than the denominator. That's why original fraction will become [tex]\frac{2x}{y}[/tex].
Step-by-step explanation:
We need to find the percentage, if its numerator is increases by 60% and its denominator decreases by 20%.
First, we let the original fraction: [tex]\frac{x}{y}[/tex]
We have given its numerator is increases by 60% and denominator is decreases by 20% then,
New fraction will become = [tex]\frac{1.6x}{0.8y}[/tex].
Divide the new fraction by original fraction, then we get:
[tex]\frac{1.6x}{0.8y}[/tex]/ [tex]\frac{x}{y}[/tex]
[tex]\frac{1.6x}{0.8y}[/tex]* [tex]\frac{x}{y}[/tex]
Then, it will become [tex]\frac{1.6}{0.8}[/tex].
We can see that, The numerator is two times more than the denominator. That's why original fraction will become [tex]\frac{2x}{y}[/tex].
It is increased by 100%.
If we take an example, Suppose the original fraction is [tex]\frac{5}{8}[/tex] and the new fraction will become [tex]\frac{1.6*5}{0.8*8}[/tex].
= [tex]\frac{8}{6.4}[/tex] = [tex]\frac{80}{64}[/tex]
= [tex]\frac{10}{8}[/tex], it is twice of original fraction [tex]\frac{5}{8}[/tex].
