What fraction must be subtracted from the sum of (2frac{1}{6}) and (2frac{7}{12}) to give (3frac{1}{4})?
-
A.
(frac{1}{3}) -
B.
(frac{1}{2}) -
C.
(1frac{1}{6}) -
D.
(1frac{1}{2})
Correct Answer: Option D
Explanation
(2frac{1}{6} + 2frac{7}{12})
= (frac{13}{6} + frac{31}{12})
= (frac{26 + 31}{12})
= (frac{57}{12} = frac{19}{4})
(frac{19}{4} – 3frac{1}{4})
= (frac{19}{4} – frac{13}{4})
= (frac{6}{4})
= (1frac{1}{2})