Question

Using appropriate property find the value of
(4/5 ) × (2/3) - (4/5) × (5/6) - (1/6)

Answer 1

(4/5) × (2/3) - (4/5) × (5/6), from 1st to 4th can be simplified through the distributive property.

→ (4/5) × (2/3) - (4/5) × (5/6)

→ (4/5) × { (2/3) - (5/6) }

→ (4/5) × - (1/6)

Now we see -1/6 common. So we can reuse distributive property to simplify.

→ (4/5) × - (1/6) + 1 × - (1/6)

→ (9/5) × -(1/6)

The multiplication is -9/30, which simplifies to -3/10.

Answer 2

Step-by-step explanation:

$\frac{4}{5} \times \frac{2}{3} - \frac{4}{5} \times \frac{5}{6} - \frac{1}{6}$

(1/4)×(4/5)×(1/4)[8-10-5]

=(1/3)×(1/5)-7

=-7/15