# How do you solve 5/11=35/x?

$x = 77$

#### Explanation:

We can do this a couple of different ways.

Cross multiply

$\frac{5}{11} = \frac{35}{x}$

$5 x = 385$

$x = 77$

Observation

We can see that in the numerators, 35 is seven times 5. And so we can adjust the left hand fraction by a factor of 7 in both the numerator and denominator to see the equivalence to the right side:

$\frac{5}{11} = \frac{35}{x}$

$\frac{5}{11} \left(1\right) = \frac{35}{x}$

$\frac{5}{11} \left(\frac{7}{7}\right) = \frac{35}{x}$

$\frac{35}{77} = \frac{35}{x}$

therefore $x = 77$