Solve 35/13+4*42/13

$$3 \frac { 5 } { 13 } +4 \times 4 \frac { 2 } { 13 }$$

Evaluate

$$20$$

Solution Steps

Multiply 3 and 13 to get 39.

$$\frac{39+5}{13}+4\times \frac{4\times 13+2}{13}$$

Add 39 and 5 to get 44.

$$\frac{44}{13}+4\times \frac{4\times 13+2}{13}$$

Multiply 4 and 13 to get 52.

$$\frac{44}{13}+4\times \frac{52+2}{13}$$

Add 52 and 2 to get 54.

$$\frac{44}{13}+4\times \frac{54}{13}$$

Express 4\times \frac{54}{13} as a single fraction.

$$\frac{44}{13}+\frac{4\times 54}{13}$$

Multiply 4 and 54 to get 216.

$$\frac{44}{13}+\frac{216}{13}$$

Since \frac{44}{13} and \frac{216}{13} have the same denominator, add them by adding their numerators.

$$\frac{44+216}{13}$$

Add 44 and 216 to get 260.

$$\frac{260}{13}$$

Divide 260 by 13 to get 20.

$$20$$

Factor

$$2^{2}\times 5$$