Question

Simplify 5 over 3/5 divided 7/8

Answer 1

Answer:

200/21

Step-by-step 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

Step-by-step explanation:

When you divide fractions, you multiply by the reciprocal.

The new equation would be:

$\frac{5}{\frac{3}{8} \times \frac{8}{7} }$

• 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)

$\frac{5}{1} \times \frac{7}{3} = \frac{35}{3}$

• 35/3 = 11.66 repeating or simply:
• $11 \frac{2}{3}$