Solve -7/8div31/6=

$$- \frac{ 7 }{ 8 } \div 3 \frac{ 1 }{ 6 } =$$

Evaluate

$$-\frac{21}{76}\approx -0.276315789$$

Solution Steps

Divide -\frac{7}{8} by \frac{3\times 6+1}{6} by multiplying -\frac{7}{8} by the reciprocal of \frac{3\times 6+1}{6}.

$$\frac{-7\times 6}{8\left(3\times 6+1\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{-7\times 3}{4\left(1+3\times 6\right)}$$

Multiply -7 and 3 to get -21.

$$\frac{-21}{4\left(1+3\times 6\right)}$$

Multiply 3 and 6 to get 18.

$$\frac{-21}{4\left(1+18\right)}$$

Add 1 and 18 to get 19.

$$\frac{-21}{4\times 19}$$

Multiply 4 and 19 to get 76.

$$\frac{-21}{76}$$

Fraction \frac{-21}{76} can be rewritten as -\frac{21}{76} by extracting the negative sign.

$$-\frac{21}{76}$$

Factor

$$-\frac{21}{76} = -0.27631578947368424$$