Question

Simplify. X over 4+x over 3 all over x/2

Answer 1

Question:

$\frac{x/4+x/3}{x/2}$

Answer:

$\frac{7}{6}$

Steps:

Apply the fraction rule: $\frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}$

$=\frac{\left(\frac{x}{4}+\frac{x}{3}\right)\cdot \:2}{x}$

Join $\:\frac{x}{4}+\frac{x}{3}:\quad \frac{7x}{12}$

$=\frac{2\cdot \frac{7x}{12}}{x}$

Multiply: $\frac{7x}{12}\cdot \:2\::\quad \frac{7x}{6}$

$=\frac{\frac{7x}{6}}{x}$

Apply the fraction rule: $\frac{\frac{b}{c}}{a}=\frac{b}{c\:\cdot \:a}$

$=\frac{7x}{6x}$

Cancel the common factor: x

$=\frac{7}{6}$