Evaluate:

$$
8\frac{1}{3} - \left[\frac{7}{9} \div \left\{\frac{2}{5} - \left(\frac{1}{3} imes \left(\frac{5}{6} - \frac{1}{6} ight) ight) ight\} ight]
$$

Question

Evaluate:

$$
8\frac{1}{3} - \left[\frac{7}{9} \div \left\{\frac{2}{5} - \left(\frac{1}{3} 	imes \left(\frac{5}{6} - \frac{1}{6}ight)ight)ight\}ight]
$$

Accepted Answer

Given expression:
8 1/3 - [ 7/9 ÷ { 2/5 - (1/3 × (5/6 - 1/6)) } ]
First solve the innermost bracket:
5/6 - 1/6 = 4/6 = 2/3
Now:
1/3 × 2/3 = 2/9
So the expression becomes:
8 1/3 - [ 7/9 ÷ { 2/5 - 2/9 } ]
Now solve:
2/5 - 2/9
LCM of 5 and 9 = 45
2/5 = 18/45
2/9 = 10/45
So:
2/5 - 2/9 = 18/45 - 10/45 = 8/45
Now:
7/9 ÷ 8/45
= 7/9 × 45/8
= 35/8
Also:
8 1/3 = 25/3
Now subtract:
25/3 - 35/8
LCM of 3 and 8 = 24
25/3 = 200/24
35/8 = 105/24
So:
25/3 - 35/8 = 200/24 - 105/24 = 95/24
Final Answer: 95/24
Correct option: (c)

Answer

Answer

Answer