Simplify.
-$\frac{6+\frac{1}{3}}{2-\frac{2}{27}}$
A) $\frac{513}{104}$
B) $\frac{513}{52}$
C) $\frac{171}{52}$
D) $\frac{171}{26}$

Question

Quizplus · Accepted Answer

First, simplify the numerator and the denominator separately. In the numerator, $6 + \frac{1}{3} = \frac{18}{3} + \frac{1}{3} = \frac{19}{3}$. In the denominator, $2 - \frac{2}{27} = \frac{54}{27} - \frac{2}{27} = \frac{52}{27}$. Then, divide the two fractions: $\frac{19/3}{52/27} = \frac{19}{3} \times \frac{27}{52} = \frac{513}{156}$, which simplifies to $\frac{171}{52}$ after dividing both numerator and denominator by 3.

Simplify - 6+132−227\frac{6+\frac{1}{3}}{2-\frac{2}{27}}2−272​6+31​​ A) 513104\frac{513}{104}104513​ B) 51352\frac{513}{52}52513​ C) 17152\frac{171}{52}52171​ D) 17126\frac{171}{26}26171​

Simplify
- $\frac{6+\frac{1}{3}}{2-\frac{2}{27}}$ A) $\frac{513}{104}$ B) $\frac{513}{52}$ C) $\frac{171}{52}$ D) $\frac{171}{26}$