Solve 31/3+5/3frac{1{3}}

$$\frac{ 3 \frac{ 1 }{ 3 } +5 }{ 3 \frac{ 1 }{ 3 } }$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{\frac{9+1}{3}+5}{\frac{3\times 3+1}{3}}$$

Add 9 and 1 to get 10.

$$\frac{\frac{10}{3}+5}{\frac{3\times 3+1}{3}}$$

Convert 5 to fraction \frac{15}{3}.

$$\frac{\frac{10}{3}+\frac{15}{3}}{\frac{3\times 3+1}{3}}$$

Since \frac{10}{3} and \frac{15}{3} have the same denominator, add them by adding their numerators.

$$\frac{\frac{10+15}{3}}{\frac{3\times 3+1}{3}}$$

Add 10 and 15 to get 25.

$$\frac{\frac{25}{3}}{\frac{3\times 3+1}{3}}$$

Multiply 3 and 3 to get 9.

$$\frac{\frac{25}{3}}{\frac{9+1}{3}}$$

Add 9 and 1 to get 10.

$$\frac{\frac{25}{3}}{\frac{10}{3}}$$

Divide \frac{25}{3} by \frac{10}{3} by multiplying \frac{25}{3} by the reciprocal of \frac{10}{3}.

$$\frac{25}{3}\times \frac{3}{10}$$

Multiply \frac{25}{3} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 3}{3\times 10}$$

Cancel out 3 in both numerator and denominator.

$$\frac{25}{10}$$

Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$