Answer:
The sum of 1/3x and 2/5x will be:
[tex]\frac{1}{3}x+\frac{2}{5}x=\frac{11}{15}x[/tex]
Step-by-step explanation:
Finding the sum of 1/3x and 2/5x.
i.e.
[tex]\frac{1}{3}x+\frac{2}{5}x[/tex]
Factor out common term x
[tex]\frac{1}{3}x+\frac{2}{5}x=x\left(\frac{1}{3}+\frac{2}{5}\right)[/tex]
as
[tex]\frac{1}{3}+\frac{2}{5}=\frac{5+6}{15}=\frac{11}{15}[/tex]
so the expression becomes
[tex]=\frac{11}{15}x[/tex]
Therefore, the sum of 1/3x and 2/5x will be:
[tex]\frac{1}{3}x+\frac{2}{5}x=\frac{11}{15}x[/tex]
