Question:
[tex]\frac{x/4+x/3}{x/2}[/tex]
Answer:
[tex]\frac{7}{6}[/tex]
Steps:
Apply the fraction rule: [tex]\frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}[/tex]
[tex]=\frac{\left(\frac{x}{4}+\frac{x}{3}\right)\cdot \:2}{x}[/tex]
Join [tex]\:\frac{x}{4}+\frac{x}{3}:\quad \frac{7x}{12}[/tex]
[tex]=\frac{2\cdot \frac{7x}{12}}{x}[/tex]
Multiply: [tex]\frac{7x}{12}\cdot \:2\::\quad \frac{7x}{6}[/tex]
[tex]=\frac{\frac{7x}{6}}{x}[/tex]
Apply the fraction rule: [tex]\frac{\frac{b}{c}}{a}=\frac{b}{c\:\cdot \:a}[/tex]
[tex]=\frac{7x}{6x}[/tex]
Cancel the common factor: x
[tex]=\frac{7}{6}[/tex]
