Answer:
[tex]x=\frac{4}{15}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}x=\frac{1}{5}\\\mathrm{Multiply\:both\:sides\:by\:}4\\Simplify\\4\cdot \frac{3}{4}x=\frac{1\cdot \:4}{5}\\\mathrm{Simplify\:}4\cdot \frac{3}{4}x:\quad 3x\\\mathrm{Simplify\:}\frac{1\cdot \:4}{5}:\quad \frac{4}{5}\\3x=\frac{4}{5}\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{\frac{4}{5}}{3}\\Simplify\\\frac{3x}{3}=\frac{\frac{4}{5}}{3}\\\mathrm{Simplify\:}\frac{3x}{3}:\quad x\\\mathrm{Simplify\:}\frac{\frac{4}{5}}{3}:\quad \frac{4}{15}\\x=\frac{4}{15}[/tex]
