Solve -19/21div31/2

$$- \frac { 19 } { 21 } \div 3 \frac { 1 } { 2 }$$

Evaluate

$$-\frac{38}{147}\approx -0.258503401$$

Solution Steps

Divide -\frac{19}{21} by \frac{3\times 2+1}{2} by multiplying -\frac{19}{21} by the reciprocal of \frac{3\times 2+1}{2}.

$$\frac{-19\times 2}{21\left(3\times 2+1\right)}$$

Multiply -19 and 2 to get -38.

$$\frac{-38}{21\left(3\times 2+1\right)}$$

Multiply 3 and 2 to get 6.

$$\frac{-38}{21\left(6+1\right)}$$

Add 6 and 1 to get 7.

$$\frac{-38}{21\times 7}$$

Multiply 21 and 7 to get 147.

$$\frac{-38}{147}$$

Fraction \frac{-38}{147} can be rewritten as -\frac{38}{147} by extracting the negative sign.

$$-\frac{38}{147}$$

Factor

$$-\frac{38}{147} = -0.2585034013605442$$