Solve 7/12div31/2

$$\frac { 7 } { 12 } \div 3 \frac { 1 } { 2 }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Divide \frac{7}{12} by \frac{3\times 2+1}{2} by multiplying \frac{7}{12} by the reciprocal of \frac{3\times 2+1}{2}.

$$\frac{7\times 2}{12\left(3\times 2+1\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{7}{6\left(1+2\times 3\right)}$$

Multiply 2 and 3 to get 6.

$$\frac{7}{6\left(1+6\right)}$$

Add 1 and 6 to get 7.

$$\frac{7}{6\times 7}$$

Multiply 6 and 7 to get 42.

$$\frac{7}{42}$$

Reduce the fraction \frac{7}{42} to lowest terms by extracting and canceling out 7.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$