Solve 3a(1/3)^2+2b(1/3)

$$3 a ( \frac { 1 } { 3 } ) ^ { 2 } + 2 b ( \frac { 1 } { 3 } )$$

Evaluate

$$\frac{a+2b}{3}$$

Solution Steps

Calculate \frac{1}{3} to the power of 2 and get \frac{1}{9}.

$$3a\times \frac{1}{9}+2b\times \frac{1}{3}$$

Multiply 3 and \frac{1}{9} to get \frac{3}{9}.

$$\frac{3}{9}a+2b\times \frac{1}{3}$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{1}{3}a+2b\times \frac{1}{3}$$

Multiply 2 and \frac{1}{3} to get \frac{2}{3}.

$$\frac{1}{3}a+\frac{2}{3}b$$

Factor

$$\frac{a+2b}{3}$$

Solution Steps

Factor out \frac{1}{3}.

$$\frac{a+2b}{3}$$