Solve 33/7+22/7

$$3 \frac { 3 } { 7 } + 2 \frac { 2 } { 7 }$$

Evaluate

$$\frac{40}{7}\approx 5.714285714$$

Solution Steps

Multiply 3 and 7 to get 21.

$$\frac{21+3}{7}+\frac{2\times 7+2}{7}$$

Add 21 and 3 to get 24.

$$\frac{24}{7}+\frac{2\times 7+2}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{24}{7}+\frac{14+2}{7}$$

Add 14 and 2 to get 16.

$$\frac{24}{7}+\frac{16}{7}$$

Since \frac{24}{7} and \frac{16}{7} have the same denominator, add them by adding their numerators.

$$\frac{24+16}{7}$$

Add 24 and 16 to get 40.

$$\frac{40}{7}$$

Factor

$$\frac{2 ^ {3} \cdot 5}{7} = 5\frac{5}{7} = 5.714285714285714$$