Simplify (frac{1frac{7}{8} times 2frac{2}{5}}{6frac{3}{4} div frac{3}{4}})
-
A.
9 -
B.
4(frac{1}{2}) -
C.
2 -
D.
(frac{1}{2})
Correct Answer: Option D
Explanation
(frac{1frac{7}{8} times 2frac{2}{5}}{6frac{3}{4} div frac{3}{4}})
from numerator (1 frac{7}{8} times 2 frac{2}{5})
= (frac{15}{8} times frac{12}{5})
= (frac{3 times 3}{2 times 1} = frac{9}{2})
from denominator (6frac{3}{4} div frac{3}{4})
= (frac{27}{4} div frac{3}{4})
= (frac{27}{4} times frac{4}{3})
= (frac{9 times 1}{1 times 1} = frac{9}{1})
(frac{9}{2} div frac{9}{1} = frac{9}{2} times frac{1}{9})
= (frac{1}{2})