Operations with Fractional Expressions

[greenapple-06]

Hey i have a couple questions and have a feeling im doing it all wrong! can someone help me please!

3a^2/c^2 X 5c/6a^3


and
7x^2/11y / 7x +14/5y^3

Please help

 

[Deleted member 4993]

Please share with us your work, indicating exactly where you are stuck - so that we know where to begin to help you.

 

[IloveManUtd]

Note: a^3 cancels out a^2 and leaves a (much like 3 - 2 =1). 3 divided by 6 gives 1/2 (a 2 in the denominator)

 

[Denis]

That should be 5 / (2ac)

 

[mmm4444bot]

7x^2/11y / 7x +14/5y^3 This is not properly typed. We need grouping symbols!

I'll make a guess:

[7x^2/(11y)] / [(7x + 14)/(5y^3)]

\(\displaystyle \frac{\frac{7x^2}{11y}}{\frac{7x + 14}{5y^3}}\)

\(\displaystyle \frac{7x^2}{11y} \cdot \frac{5y^3}{7x + 14}\)

\(\displaystyle \frac{7x^2}{7(x + 2)} \cdot \frac{5y^3}{11y}\)

\(\displaystyle \frac{x^2}{x + 2} \cdot \frac{5y^2}{11}\)

\(\displaystyle \frac{5x^2y^2}{11x + 22}\)