Question

Simplify 5 over 3/5 divided 7/8

Answer 1

200/21

Explanation:

5/(3/5) divided by 7/8

First divide 5 by 3/5. To do this you must write 5 as 5/1, and multiply 5/1 by the reciprocal of 3/5 (5/3).

5/1 (5/3)

numerator: 5*5=25

denominator: 1*3=3

25/3

Then divide 25/3 by 7/8 by multiplying 25/3 by the reciprocal of 7/8 (8/7).

25/3 (8/7)

numerator: 25*8= 200

denominator: 3*7= 21

200/21 or 9 11/21

Answer 2

Explanation:

When you divide fractions, you multiply by the reciprocal.

The new equation would be:

`(5)/((3)/(8) * (8)/(7) )`

• When you multiply fractions, you go straight across. You'd get 24/56 and I can already see this can be simplified.
• 24/56 = 3/7
• Now you could just plug 5 ÷ 3/7 in your calculator but let's just actually solve it
• Turn 5 into 5/1 and then flip 3/7 to its reciprocal (7/3)

`(5)/(1) * (7)/(3) = (35)/(3)`

• 35/3 = 11.66 repeating or simply:
• 
  `11 (2)/(3)`