Hello!
The answer is: Multiply the numerators, multiply the denominators, and then simplify.
Why?
Let's discard each given option in order to find the correct one.
First option,
Find a common denominator for the two fractions:
Incorrect, there Mrs. Cho does not need to find a common denominator since it's a fraction multiplication. We find common denominators when we are doing additions or subtractions of fractions.
Second Option,
Divide the numerator and denominator of the first fraction by x2 and y:
Incorrect, Mrs. Cho does not need to divide the numerator and denominator of the first fraction by x2 and y, doing that would not help at all, it's a useless step.
Third Option,
Multiply the numerators, multiply the denominators, and then simplify:
Correct, Mrs. Cho should multiply and then, simplify the result:
[tex]\frac{y-2x^{2}}{x^{2}y}*\frac{1}{y-2x^{2}}=\frac{1}{x^{2}y }[/tex]
As we can see,the fraction is simplified because the first fraction numerator and the second fraction denominator are equal.
Fourth Option,
Multiply the first fraction by the reciprocal of the second fraction:
Incorrect, Mrs. Cho does not need to multiply the first fraction by the reciprocal of the second fraction since it's not a fraction division.
Have a nice day!
