Solve 31/4div3/8

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

Evaluate

$$\frac{26}{3}\approx 8.666666667$$

Solution Steps

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

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

Cancel out 4 in both numerator and denominator.

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

Multiply 3 and 4 to get 12.

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

Add 1 and 12 to get 13.

$$\frac{2\times 13}{3}$$

Multiply 2 and 13 to get 26.

$$\frac{26}{3}$$

Factor

$$\frac{2 \cdot 13}{3} = 8\frac{2}{3} = 8.666666666666666$$