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5 votes
4 1/2 ​ ÷(−1 3/7​ ) please help and hurry

User Moatez
by
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2 Answers

4 votes
4 1/2 = 9/2 -1 3/7 = - 10/7
- 9/2 x 10/7
- 63/20
Answer: - 63/20, -3 3/20, -3.15
User Mkb
by
5.3k points
2 votes

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.


(9)/(2)​ ÷(−1
(3)/(7)​ )

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.


(9)/(2)​ ÷(−
(10)/(7)​ )

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.


(9)/(2)​ ×(−
(7)/(10)​ )

Now, we multiply the top by the top, and the bottom by the bottom. (any positive multiplied by a negative gives a negative)

-
(63)/(20)

Since we cannot simplify, our final answer is -63/20.

I hope this was helpful, keep learning! :D

User Andrea Gorrieri
by
5.4k points