Solve -4*(25/12+32/3)

$$- 4 \times ( 2 \frac { 5 } { 12 } + 3 \frac { 2 } { 3 } )$$

Evaluate

$$-\frac{73}{3}\approx -24.333333333$$

Solution Steps

Multiply 2 and 12 to get 24.

$$-4\left(\frac{24+5}{12}+\frac{3\times 3+2}{3}\right)$$

Add 24 and 5 to get 29.

$$-4\left(\frac{29}{12}+\frac{3\times 3+2}{3}\right)$$

Multiply 3 and 3 to get 9.

$$-4\left(\frac{29}{12}+\frac{9+2}{3}\right)$$

Add 9 and 2 to get 11.

$$-4\left(\frac{29}{12}+\frac{11}{3}\right)$$

Least common multiple of 12 and 3 is 12. Convert \frac{29}{12} and \frac{11}{3} to fractions with denominator 12.

$$-4\left(\frac{29}{12}+\frac{44}{12}\right)$$

Since \frac{29}{12} and \frac{44}{12} have the same denominator, add them by adding their numerators.

$$-4\times \frac{29+44}{12}$$

Add 29 and 44 to get 73.

$$-4\times \frac{73}{12}$$

Express -4\times \frac{73}{12} as a single fraction.

$$\frac{-4\times 73}{12}$$

Multiply -4 and 73 to get -292.

$$\frac{-292}{12}$$

Reduce the fraction \frac{-292}{12} to lowest terms by extracting and canceling out 4.

$$-\frac{73}{3}$$

Factor

$$-\frac{73}{3} = -24\frac{1}{3} = -24.333333333333332$$