Answer:
[tex]\frac{28}{3}[/tex]
Step-by-step explanation:
When dividing fractions, we must always remember a very important step:
we can multiply the two fractions instead of divide as long as the second fraction must be flipped opposite as a reciprocal.
Let me explain:
When given a simple problem like [tex]\frac{1}{2}[/tex] ÷ [tex]\frac{2}{3}[/tex] , we flip the second fraction (called reciprocal) and multiply it together instead.
[tex]\frac{1}{2} * \frac{3}{2}[/tex]
There, we can just multiply the numerators with each other and the denominators as each other.
1x3=3
2x2=4
Therefore, the answer will be [tex]\frac{3}{4}[/tex].
Similar in this case, we must flip the second fraction and pretend we never even saw a division sign (because who likes dividing anyways?)
[tex]\frac{35}{5}[/tex] ÷ [tex]\frac{-3}{4}[/tex] flip and multiply reciprocal
[tex]\frac{35}{5} * \frac{-4}{3}[/tex]
[tex]\frac{140}{15}[/tex] simplify
[tex]\frac{28}{3}[/tex] final answer!
