Solve -3(14div(-7)-3(47-56)div2)

$$- 3 ( 14 \div ( - 7 ) - 3 ( 47 - 56 ) \div 2 )$$

Evaluate

$$-\frac{69}{2}=-34.5$$

Solution Steps

Divide 14 by -7 to get -2.

$$-3\left(-2-\frac{3\left(47-56\right)}{2}\right)$$

Subtract 56 from 47 to get -9.

$$-3\left(-2-\frac{3\left(-9\right)}{2}\right)$$

Multiply 3 and -9 to get -27.

$$-3\left(-2-\frac{-27}{2}\right)$$

Fraction \frac{-27}{2} can be rewritten as -\frac{27}{2} by extracting the negative sign.

$$-3\left(-2-\left(-\frac{27}{2}\right)\right)$$

The opposite of -\frac{27}{2} is \frac{27}{2}.

$$-3\left(-2+\frac{27}{2}\right)$$

Convert -2 to fraction -\frac{4}{2}.

$$-3\left(-\frac{4}{2}+\frac{27}{2}\right)$$

Since -\frac{4}{2} and \frac{27}{2} have the same denominator, add them by adding their numerators.

$$-3\times \frac{-4+27}{2}$$

Add -4 and 27 to get 23.

$$-3\times \frac{23}{2}$$

Express -3\times \frac{23}{2} as a single fraction.

$$\frac{-3\times 23}{2}$$

Multiply -3 and 23 to get -69.

$$\frac{-69}{2}$$

Fraction \frac{-69}{2} can be rewritten as -\frac{69}{2} by extracting the negative sign.

$$-\frac{69}{2}$$

Factor

$$-\frac{69}{2} = -34\frac{1}{2} = -34.5$$