Simplify 1 - (\(\frac{1}{7}\) x 3 \(\frac{1}{2}\)) \(\div\) \(\frac{3}{4}\)
A
2
B
\(\frac{1}{3}\)
C
1
D
\(\frac{2}{3}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
1 - (\(\frac{1}{7}\) x 3 \(\frac{1}{2}\)) \(\div\) \(\frac{3}{4}\)
1 - (\(\frac{1}{7}\) x \(\frac{7}{2}\)) x \(\frac{4}{3}\)
1 - \(\frac{1}{2}\) x \(\frac{4}{3}\)
1 - \(\frac{2}{3}\) = \(\frac{1}{3}\)
Source: Myschool Past Questions Archive (Record #44856)