# How do you solve 3 = 1 7/11Q?

Jul 27, 2015

color(blue)(Q=11/6

#### Explanation:

$3 = 1 \left(\frac{7}{11}\right) Q$

Solving the mixed fraction on the L.H.S:

$3 = \frac{11 \cdot 1 + 7}{11} Q$

$3 = \frac{18}{11} Q$

$11 \cdot 3 = 18 Q$

$Q = \frac{11 \cdot \cancel{3}}{\cancel{18}}$

color(blue)(Q=11/6