Correct Answer - Option 1 : 784/27
Concept
Value of 0.333… = 3/9
Value of 0.44… = 4/9
Value of 0.77… = 7/9
Calculation
Value of 45.244…
Let x = 45.244… ----(1)
Multiply by 10
10x = 452.44… ----(2)
Subtract (1) from (2)
10x – x = 452.44... – 45.244…
⇒ 9x = 407.196
⇒ x = 407196/9000
Value of 1.333
(1 + 0.333)
⇒ 1 + 1/3
⇒ 4/3
Now,
63 × (4/3) × (407196/9000) × (7/9) × (2000/203598)
⇒ 63 × (4/3) × (407197/9) × (7/9) × (2/203598)
⇒ (21 × 4 × 2 × 7 × 2)/(9 × 9)
⇒ 784/27
