Answer:
[tex]\frac{21}{4}[/tex]
Step-by-step explanation:
So to start, you need to make 3 [tex]\frac{3}{4\\}[/tex] into an improper fraction, which will give you [tex]\frac{15}{4}[/tex]. Then to make it easier, instead of dividing it by [tex]\frac{5}{7}[/tex], multiply it by the reciprocal ( [tex]\frac{7}{5}[/tex] )
Your new expression should look like this:
[tex]\frac{15}{4}[/tex] x [tex]\frac{7}{5}[/tex]
To make it even easier, you can simplify this expression even further. Looking at the numerators and denominators, we see that we have a 15 on top and a 5 on the bottom. Cross out the 5 and put a 1 in its place since 5 goes into 5 one time! Now we have to do it to the 15... Cross out the 15 and put a 3 since 5 goes into 15 three times!
Your simplified expression should look like this:
[tex]\frac{3}{4}[/tex] x [tex]\frac{7}{1}[/tex]
Now, just multiply the numerators and the denominators to get your final answer of
[tex]\frac{21}{4}[/tex]
Since you cannot simplify this anymore, that is your answer!!!
