The value of 0.46̅ + 0.72̅3̅ - 0.39̅ × 0.7̅ is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 0.8̅7̅
The simplest form of 0.46̅ = (46 - 4)/90 = 7/15
The simplest form of 0.72̅3̅ = (723 - 7)/990 = 358/495
Similarly,
0.39̅ = (39 - 3)/90 = 2/5
0.7̅ = 7/9
On putting the respective values we get,
7/15 + 358/495 - 2/5 × 7/9 = 435/495
On dividing we get, 0.8787878787..............
Which can be written as 0.8̅7̅.