Simplify 3 - 2 \(\div\) \(\frac{4}{5}\) + \(\frac{1}{2}\)
A
1\(\frac{3}{4}\)
B
-1
C
1\(\frac{3}{10}\)
D
1
E
1\(\frac{9}{10}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
3 - 2 \(\div\) (\(\frac{4}{5}\)) + \(\frac{1}{2}\)
3 - (2 x \(\frac{5}{4}\)) + \(\frac{1}{2}\) = 3 - \(\frac{10}{4}\) + \(\frac{1}{2}\)
= 3 - \(\frac{5}{2}\) + \(\frac{1}{2}\)
= \(\frac{6 - 5 + 1}{2}\)
= \(\frac{2}{2}\)
= 1
Source: Myschool Past Questions Archive (Record #32482)