Solve 2*29/7-3*38/7+2

$$2 \times \frac{ 29 }{ 7 } -3 \times \frac{ 38 }{ 7 } +2$$

Evaluate

$$-6$$

Solution Steps

Express 2\times \frac{29}{7} as a single fraction.

$$\frac{2\times 29}{7}-3\times \frac{38}{7}+2$$

Multiply 2 and 29 to get 58.

$$\frac{58}{7}-3\times \frac{38}{7}+2$$

Express 3\times \frac{38}{7} as a single fraction.

$$\frac{58}{7}-\frac{3\times 38}{7}+2$$

Multiply 3 and 38 to get 114.

$$\frac{58}{7}-\frac{114}{7}+2$$

Since \frac{58}{7} and \frac{114}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{58-114}{7}+2$$

Subtract 114 from 58 to get -56.

$$\frac{-56}{7}+2$$

Divide -56 by 7 to get -8.

$$-8+2$$

Add -8 and 2 to get -6.

$$-6$$

Factor

$$-6$$