Solve 42/3div-7/8=

$$4 \frac { 2 } { 3 } \div \frac { - 7 } { 8 } =$$

Evaluate

$$-\frac{16}{3}\approx -5.333333333$$

Solution Steps

Divide \frac{4\times 3+2}{3} by \frac{-7}{8} by multiplying \frac{4\times 3+2}{3} by the reciprocal of \frac{-7}{8}.

$$\frac{\left(4\times 3+2\right)\times 8}{3\left(-7\right)}$$

Multiply 4 and 3 to get 12.

$$\frac{\left(12+2\right)\times 8}{3\left(-7\right)}$$

Add 12 and 2 to get 14.

$$\frac{14\times 8}{3\left(-7\right)}$$

Multiply 14 and 8 to get 112.

$$\frac{112}{3\left(-7\right)}$$

Multiply 3 and -7 to get -21.

$$\frac{112}{-21}$$

Reduce the fraction \frac{112}{-21} to lowest terms by extracting and canceling out 7.

$$-\frac{16}{3}$$

Factor

$$-\frac{16}{3} = -5\frac{1}{3} = -5.333333333333333$$