Solve 23/5+77/5*10

$$2 \frac { 3 } { 5 } + 7 \frac { 7 } { 5 } \times 10$$

Evaluate

$$\frac{433}{5}=86.6$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+3}{5}+\frac{7\times 5+7}{5}\times 10$$

Add 10 and 3 to get 13.

$$\frac{13}{5}+\frac{7\times 5+7}{5}\times 10$$

Multiply 7 and 5 to get 35.

$$\frac{13}{5}+\frac{35+7}{5}\times 10$$

Add 35 and 7 to get 42.

$$\frac{13}{5}+\frac{42}{5}\times 10$$

Express \frac{42}{5}\times 10 as a single fraction.

$$\frac{13}{5}+\frac{42\times 10}{5}$$

Multiply 42 and 10 to get 420.

$$\frac{13}{5}+\frac{420}{5}$$

Since \frac{13}{5} and \frac{420}{5} have the same denominator, add them by adding their numerators.

$$\frac{13+420}{5}$$

Add 13 and 420 to get 433.

$$\frac{433}{5}$$

Factor

$$\frac{433}{5} = 86\frac{3}{5} = 86.6$$