Question

Simplity 4/5 of (4/9+2/3) /2 2/3​

Answer 1

8/27

Step-by-step explanation:

4/5(4/9+2/3)/2 * 2/3

LCM of the denominators:

3=3*1

9=3*3

3 is common in both the thing.

3 and 3 i.e., 3*3=9

4/5(4+(2*3)/9)/2 * 2/3

=4/5(4+6/9)/2 * 2/3

=4/5(10/9)/2 * 2/3

=4/5[(10/9)/(2/1)] * 2/3

= 4/5[10/9 * 1/2]*2/3

= 4/5 * 5/9 * 2/3

= 4/9 *2/3

= 8/27

Answer 2

Solution

$\implies \frac{4}{5} \frac{( \frac{4}{9} + \frac{2}{3} )}{2} \frac{2}{3}$

Lcm=27

$\implies\frac{4}{5} \frac{( \frac{12}{27} + \frac{18}{27} )}{2} \frac{2}{3}$

$\implies \frac{4}{5} \frac{( \frac{12 + 18}{27})}{2} \frac{2}{3}$

$\implies \frac{4}{5} \frac{( \frac{30}{27})}{2} \frac{2}{3}$

$\implies \frac{4}{5} \times \frac{30}{27} \times \frac{2}{1} \times \frac{2}{3}$

$\implies \frac{4 \times 30 \times 2 \times 2}{5 \times 2 \times 1 \times 3}$

$\implies \frac{480}{45}$

$\implies10.6666667$

Hope it helps you...