# How do you solve 3/u=27/162?

Jun 20, 2018

u=18

#### Explanation:

You just use the x method
3x162=27u
u=486/27
u=18

Jun 20, 2018

3 and $u$ are multiplied by 9 to get the equivalent fraction

$\frac{162}{9} = 18$

so $u = 18$

Jun 20, 2018

$u = 18$

#### Explanation:

First of all, you can simplify the right hand side by $27$ to get

$\frac{27}{162} = \frac{1}{6}$

So, the equation becomes

$\frac{3}{u} = \frac{1}{6}$

Multiply both sides by $6 u$ to get

$6 \cancel{u} \cdot \frac{3}{\cancel{u}} = \frac{1}{\cancel{6}} \cdot \cancel{6} u$

and thus $u = 18$

Jun 20, 2018

$u = 18$

#### Explanation:

$\text{since the fractions are equal}$

$\text{the numerators/denominators will be equal}$

$\text{note that "27/9=3larrcolor(blue)"numerators}$

$\text{hence } u = \frac{162}{9} = 18$

$\frac{3}{18} = \frac{27}{162} = \frac{1}{6}$