Solve 21/4+13/3frac{3{3}}

$$2 \frac { 1 } { 4 } + \frac { 13 } { 3 \frac { 3 } { 3 } }$$

Evaluate

$$\frac{11}{2}=5.5$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+1}{4}+\frac{13}{\frac{3\times 3+3}{3}}$$

Add 8 and 1 to get 9.

$$\frac{9}{4}+\frac{13}{\frac{3\times 3+3}{3}}$$

Divide 13 by \frac{3\times 3+3}{3} by multiplying 13 by the reciprocal of \frac{3\times 3+3}{3}.

$$\frac{9}{4}+\frac{13\times 3}{3\times 3+3}$$

Multiply 13 and 3 to get 39.

$$\frac{9}{4}+\frac{39}{3\times 3+3}$$

Multiply 3 and 3 to get 9.

$$\frac{9}{4}+\frac{39}{9+3}$$

Add 9 and 3 to get 12.

$$\frac{9}{4}+\frac{39}{12}$$

Reduce the fraction \frac{39}{12} to lowest terms by extracting and canceling out 3.

$$\frac{9}{4}+\frac{13}{4}$$

Since \frac{9}{4} and \frac{13}{4} have the same denominator, add them by adding their numerators.

$$\frac{9+13}{4}$$

Add 9 and 13 to get 22.

$$\frac{22}{4}$$

Reduce the fraction \frac{22}{4} to lowest terms by extracting and canceling out 2.

$$\frac{11}{2}$$

Factor

$$\frac{11}{2} = 5\frac{1}{2} = 5.5$$