Solve x(1/3 + 1/2): Step-by-Step Fraction Multiplication

According to the order of operations rules, we will first address the expression in parentheses.

The common denominator between the fractions is 6, so we will multiply each numerator by the number needed to make its denominator reach 6.

We will multiply the first fraction's numerator by 2 and the second fraction's numerator by 3:

$(\frac{1}{3}+\frac{1}{2})=\frac{1\times2+1\times3}{6}=\frac{2+3}{6}=\frac{5}{6}$

Now we have the expression:

$x\times\frac{5}{6}=$

We will use the distributive property and get the result:

$\frac{5}{6}x$