Solve 3/8div21/4=

$$\frac { 3 } { 8 } \div 2 \frac { 1 } { 4 } =$$

Evaluate

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

Solution Steps

Divide \frac{3}{8} by \frac{2\times 4+1}{4} by multiplying \frac{3}{8} by the reciprocal of \frac{2\times 4+1}{4}.

$$\frac{3\times 4}{8\left(2\times 4+1\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{3}{2\left(1+2\times 4\right)}$$

Multiply 2 and 4 to get 8.

$$\frac{3}{2\left(1+8\right)}$$

Add 1 and 8 to get 9.

$$\frac{3}{2\times 9}$$

Multiply 2 and 9 to get 18.

$$\frac{3}{18}$$

Reduce the fraction \frac{3}{18} to lowest terms by extracting and canceling out 3.

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

Factor

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