How do you simplify 7/8 div 3/4?

2 Answers
David H. · EZ as pi
Aug 24, 2016

7/6

Explanation:

To make the division into a multiplication question, which are the easiest to solve, all you do is flip the right-hand fraction upside down and change the divide to a multiply. So it becomes:

7/8 times 4/3

Cancel the 4 on the top with the eight on the bottom and you are left with:

7/cancel8^2 times cancel4/3 rarr 7/2 times 1/3

Multiply the top numbers together and the bottom numbers together, and you get the final answer:

7/6

David Drayer · EZ as pi
Aug 24, 2016

Write the equation as a complex fraction. and then simply the problem.

Explanation:

7/8 is a division, it means 7 divided by 8.

3/4 is a division, it means 3 divided by 4

7/8 divided by 3/4 can be written as one division.
(7/8)/(3/4)

Now use the multiplicative inverse to make the bottom fraction (the denominator) 3/4 disappear

Multiply both the bottom fraction (denominator) and the top fraction(7/8) (numerator) by the multiplicative inverse 4/3

(7/8) xx (4/3) / (3/4 xx 4/3)

(3/4) xx (4/3) = 1

leaving (7/8) xx (4/3) = 28/ 24 = 7/6 = 1 1/6

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