Solve (-8)div2+10/21div4/7

$$( - 8 ) \div 2 + \frac { 10 } { 21 } \div \frac { 4 } { 7 }$$

Evaluate

$$-\frac{19}{6}\approx -3.166666667$$

Solution Steps

Divide -8 by 2 to get -4.

$$-4+\frac{\frac{10}{21}}{\frac{4}{7}}$$

Divide \frac{10}{21} by \frac{4}{7} by multiplying \frac{10}{21} by the reciprocal of \frac{4}{7}.

$$-4+\frac{10}{21}\times \frac{7}{4}$$

Multiply \frac{10}{21} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$-4+\frac{10\times 7}{21\times 4}$$

Do the multiplications in the fraction \frac{10\times 7}{21\times 4}.

$$-4+\frac{70}{84}$$

Reduce the fraction \frac{70}{84} to lowest terms by extracting and canceling out 14.

$$-4+\frac{5}{6}$$

Convert -4 to fraction -\frac{24}{6}.

$$-\frac{24}{6}+\frac{5}{6}$$

Since -\frac{24}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{-24+5}{6}$$

Add -24 and 5 to get -19.

$$-\frac{19}{6}$$

Factor

$$-\frac{19}{6} = -3\frac{1}{6} = -3.1666666666666665$$