Dividing fractions?

Question

2y⁵    Divided by 5y⁵z⁴

z⁴                                  7

Answer 1

Remember KMF Keep Multiply and Flip

so the question becomes

2y⁵   x   7

z⁴          5y⁵z⁴

then we multiply across to get

14y⁵

5y⁵z⁸

we can cross out the y⁵ in the numerator and denominator as a simplifying factor.

so our answer would be

14
5z⁸

 

Answer 2

When dividing by a fraction, you multiply by the reciprocal.  This means that you "flip" the second fraction (the numerator becomes the denominator and the nominator becomes the numerator)

2y⁵ divided by 5y⁵z⁴        Becomes    2y⁵ Times      7
z⁴                   7                               z⁴            5y⁵z⁴

Since the numerator of the first fraction and the denominator of the second fraction both have a y⁵ term, they will cancel.  No other factors occur in both a numerator and a denominator, so no other terms cancel.

When we multiply straight across, we get the answer:

 14
5z⁸