Simplify 3\(\frac{1}{2}\) - (2\(\frac{1}{3}\) x 1\(\frac{1}{4}\)) + \(\frac{3}{5}\)
A
211/60
B
21/60
C
111/60
D
11/60
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
3\(\frac{1}{2}\) - (2\(\frac{1}{3}\) x 1\(\frac{1}{4}\)) + \(\frac{3}{5}\))
= \(\frac{7}{2}\) - (\(\frac{7}{3}\) x \(\frac{5}{4}\)) + \(\frac{3}{5}\))
= \(\frac{7}{2}\) - \(\frac{35}{12}\) + \(\frac{3}{5}\)
= L.C.M = 60
= \(\frac{(210 - 175 + 36)}{60}\)
= \(\frac{71}{60}\)
= 1\(\frac{11}{60}\)
Source: Myschool Past Questions Archive (Record #8218)