Question

Multiply (1/2 +2/3) with the reciprocal of the product of (4/5 and 10/16).​

Answer 1

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$\frac{5}{3}$

Step-by-step explanation:

-->product of 4/5 and 10/16

$\frac{4}{5} \times \frac{10}{16} \\ = > \frac{2}{4} \\ = > \frac{1}{2}$

-->Reciprocal of 1/2 is 2

Therefore,

$( \frac{1}{2} + \frac{2}{3} )2 \\ = > (\frac{3 + 2}{6} )2 \\ = > \frac{5}{6} \times 2 \\ = > \frac{5}{3} = 1 \frac{2}{3}$

hope it helps... :)

Answer 2

Step-by-step explanation:

sum of 1/2and2/3

1/2+2/3

(3+4)/16

7/6

product of 4/5and10/16

4/5×10/16

2/4=1/4

reciprocal of product =1/4=4

multiply of product=7/6×4

=14/3