Solve 2(-33/7)+3(-29/7)

$$2 ( - \frac { 33 } { 7 } ) + 3 ( - \frac { 29 } { 7 } )$$

Evaluate

$$-\frac{153}{7}\approx -21.857142857$$

Solution Steps

Express 2\left(-\frac{33}{7}\right) as a single fraction.

$$\frac{2\left(-33\right)}{7}+3\left(-\frac{29}{7}\right)$$

Multiply 2 and -33 to get -66.

$$\frac{-66}{7}+3\left(-\frac{29}{7}\right)$$

Fraction \frac{-66}{7} can be rewritten as -\frac{66}{7} by extracting the negative sign.

$$-\frac{66}{7}+3\left(-\frac{29}{7}\right)$$

Express 3\left(-\frac{29}{7}\right) as a single fraction.

$$-\frac{66}{7}+\frac{3\left(-29\right)}{7}$$

Multiply 3 and -29 to get -87.

$$-\frac{66}{7}+\frac{-87}{7}$$

Fraction \frac{-87}{7} can be rewritten as -\frac{87}{7} by extracting the negative sign.

$$-\frac{66}{7}-\frac{87}{7}$$

Since -\frac{66}{7} and \frac{87}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-66-87}{7}$$

Subtract 87 from -66 to get -153.

$$-\frac{153}{7}$$

Factor

$$-\frac{153}{7} = -21\frac{6}{7} = -21.857142857142858$$