How do you solve 3/4 = 7/x?

Apr 12, 2018

See a solution process below:

Explanation:

Because both sides of the equation are pure fractions we can flip both fractions to rewrite the equation as:

$\frac{4}{3} = \frac{x}{7}$

Now, multiply each side of the equation by $\textcolor{red}{7}$ to solve for $x$ while keeping the equation balanced:

$\textcolor{red}{7} \times \frac{4}{3} = \textcolor{red}{7} \times \frac{x}{7}$

$\frac{28}{3} = \cancel{\textcolor{red}{7}} \times \frac{x}{\textcolor{red}{\cancel{\textcolor{b l a c k}{7}}}}$

$\frac{28}{3} = x$

$x = \frac{28}{3}$