Solve 13/7+(43/7-24/7)

$$1 \frac { 3 } { 7 } + ( 4 \frac { 3 } { 7 } - 2 \frac { 4 } { 7 } )$$

Evaluate

$$\frac{23}{7}\approx 3.285714286$$

Solution Steps

Multiply 1 and 7 to get 7.

$$\frac{7+3}{7}+\frac{4\times 7+3}{7}-\frac{2\times 7+4}{7}$$

Add 7 and 3 to get 10.

$$\frac{10}{7}+\frac{4\times 7+3}{7}-\frac{2\times 7+4}{7}$$

Multiply 4 and 7 to get 28.

$$\frac{10}{7}+\frac{28+3}{7}-\frac{2\times 7+4}{7}$$

Add 28 and 3 to get 31.

$$\frac{10}{7}+\frac{31}{7}-\frac{2\times 7+4}{7}$$

Since \frac{10}{7} and \frac{31}{7} have the same denominator, add them by adding their numerators.

$$\frac{10+31}{7}-\frac{2\times 7+4}{7}$$

Add 10 and 31 to get 41.

$$\frac{41}{7}-\frac{2\times 7+4}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{41}{7}-\frac{14+4}{7}$$

Add 14 and 4 to get 18.

$$\frac{41}{7}-\frac{18}{7}$$

Since \frac{41}{7} and \frac{18}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{41-18}{7}$$

Subtract 18 from 41 to get 23.

$$\frac{23}{7}$$

Factor

$$\frac{23}{7} = 3\frac{2}{7} = 3.2857142857142856$$