Solve -6*(32/7-41/2)

$$- 6 \times ( 3 \frac { 2 } { 7 } - 4 \frac { 1 } { 2 } )$$

Evaluate

$$\frac{51}{7}\approx 7.285714286$$

Solution Steps

Multiply 3 and 7 to get 21.

$$-6\left(\frac{21+2}{7}-\frac{4\times 2+1}{2}\right)$$

Add 21 and 2 to get 23.

$$-6\left(\frac{23}{7}-\frac{4\times 2+1}{2}\right)$$

Multiply 4 and 2 to get 8.

$$-6\left(\frac{23}{7}-\frac{8+1}{2}\right)$$

Add 8 and 1 to get 9.

$$-6\left(\frac{23}{7}-\frac{9}{2}\right)$$

Least common multiple of 7 and 2 is 14. Convert \frac{23}{7} and \frac{9}{2} to fractions with denominator 14.

$$-6\left(\frac{46}{14}-\frac{63}{14}\right)$$

Since \frac{46}{14} and \frac{63}{14} have the same denominator, subtract them by subtracting their numerators.

$$-6\times \frac{46-63}{14}$$

Subtract 63 from 46 to get -17.

$$-6\left(-\frac{17}{14}\right)$$

Express -6\left(-\frac{17}{14}\right) as a single fraction.

$$\frac{-6\left(-17\right)}{14}$$

Multiply -6 and -17 to get 102.

$$\frac{102}{14}$$

Reduce the fraction \frac{102}{14} to lowest terms by extracting and canceling out 2.

$$\frac{51}{7}$$

Factor

$$\frac{3 \cdot 17}{7} = 7\frac{2}{7} = 7.285714285714286$$