# How do you solve 10/14=30/m?

Mar 25, 2017

$m = 42$

#### Explanation:

We want to get rid of those fractions, so we will multiply the equation by denominators:
$\frac{10}{14} = \frac{30}{m}$ ...$\cdot 14 m$

We will get:
$\frac{10 \cdot 14 m}{14} = \frac{30 \cdot 14 m}{m}$

$\frac{10 \cdot \cancel{14} m}{\cancel{14}} = \frac{30 \cdot 14 \cancel{m}}{\cancel{m}}$ $\leftarrow$cancel

$10 m = 30 \cdot 14 \leftarrow$divide by 10

$m = 3 \cdot 14 = 42$

Mar 25, 2017

$\text{Answer : } m = 42$

#### Explanation:

$\text{if "a/b=c/d" than } a \cdot d = b \cdot c$

$\frac{10}{14} = \frac{30}{m}$

$10 \cdot m = 14 \cdot 30$

$\text{let us divide both sides of equation by 10}$

$\frac{\cancel{10} \cdot m}{\cancel{10}} = \frac{14 \cdot 3 \cancel{0}}{1 \cancel{0}}$

$m = 14 \cdot 3$

$m = 42$

Mar 25, 2017

$m = 42$

#### Explanation:

Given:

$\frac{10}{14} = \frac{30}{m}$

We can divide both sides of the equation by $10$ to get:

$\frac{1}{14} = \frac{3}{m}$

Then take the reciprocal of both sides to get:

$14 = \frac{m}{3}$

Multiply both sides by $3$ to get:

$42 = m$