Hi! I'm happy to help!
To first solve this, we need to make those mixed numbers improper fractions.
To make 4 1/2 an improper fraction, you have to turn 4 into halves (multiply four by 2) then add the extra half, giving you 9/2.
[tex]\frac{9}{2}[/tex] ÷(−1[tex]\frac{3}{7}[/tex] )
Now, we turn 1 3/7 into an improper fraction. We turn 1 into sevenths (multiply 1 by 7) then add the other 3 sevenths, giving you 10/7.
[tex]\frac{9}{2}[/tex] ÷(−[tex]\frac{10}{7}[/tex] )
From here, we need to turn this problem into a multiplication problem in order to solve. Since multiplication is the opposite of division, we need to get the opposite of something, so we use our second fraction and flip it.
[tex]\frac{9}{2}[/tex] ×(−[tex]\frac{7}{10}[/tex] )
Now, we multiply the top by the top, and the bottom by the bottom. (any positive multiplied by a negative gives a negative)
-[tex]\frac{63}{20}[/tex]
Since we cannot simplify, our final answer is -63/20.
I hope this was helpful, keep learning! :D
