Solve 31/3left(3+11/2right)

$$3 \frac{ 1 }{ 3 } \left( 3+1 \frac{ 1 }{ 2 } \right)$$

Evaluate

$$15$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+1}{3}\left(3+\frac{1\times 2+1}{2}\right)$$

Add 9 and 1 to get 10.

$$\frac{10}{3}\left(3+\frac{1\times 2+1}{2}\right)$$

Multiply 1 and 2 to get 2.

$$\frac{10}{3}\left(3+\frac{2+1}{2}\right)$$

Add 2 and 1 to get 3.

$$\frac{10}{3}\left(3+\frac{3}{2}\right)$$

Convert 3 to fraction \frac{6}{2}.

$$\frac{10}{3}\left(\frac{6}{2}+\frac{3}{2}\right)$$

Since \frac{6}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

$$\frac{10}{3}\times \frac{6+3}{2}$$

Add 6 and 3 to get 9.

$$\frac{10}{3}\times \frac{9}{2}$$

Multiply \frac{10}{3} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 9}{3\times 2}$$

Do the multiplications in the fraction \frac{10\times 9}{3\times 2}.

$$\frac{90}{6}$$

Divide 90 by 6 to get 15.

$$15$$

Factor

$$3\times 5$$