Solve -2*(3-3*12/7)

$$- 2 \cdot ( 3 - 3 \cdot \frac { 12 } { 7 } )$$

Evaluate

$$\frac{30}{7}\approx 4.285714286$$

Solution Steps

Express 3\times \frac{12}{7} as a single fraction.

$$-2\left(3-\frac{3\times 12}{7}\right)$$

Multiply 3 and 12 to get 36.

$$-2\left(3-\frac{36}{7}\right)$$

Convert 3 to fraction \frac{21}{7}.

$$-2\left(\frac{21}{7}-\frac{36}{7}\right)$$

Since \frac{21}{7} and \frac{36}{7} have the same denominator, subtract them by subtracting their numerators.

$$-2\times \frac{21-36}{7}$$

Subtract 36 from 21 to get -15.

$$-2\left(-\frac{15}{7}\right)$$

Express -2\left(-\frac{15}{7}\right) as a single fraction.

$$\frac{-2\left(-15\right)}{7}$$

Multiply -2 and -15 to get 30.

$$\frac{30}{7}$$

Factor

$$\frac{2 \cdot 3 \cdot 5}{7} = 4\frac{2}{7} = 4.285714285714286$$