Solve for: 3 /(1) 4 \div 2 /(3) 8

Expression: $$3 \frac { 1 } { 4 } \div 2 \frac { 3 } { 8 }$$

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

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

Cancel out $4$ in both numerator and denominator.

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

Multiply $3$ and $4$ to get $12$.

$$\frac{2\left(1+12\right)}{3+2\times 8}$$

Add $1$ and $12$ to get $13$.

$$\frac{2\times 13}{3+2\times 8}$$

Multiply $2$ and $13$ to get $26$.

$$\frac{26}{3+2\times 8}$$

Multiply $2$ and $8$ to get $16$.

$$\frac{26}{3+16}$$

Add $3$ and $16$ to get $19$.

$$\frac{26}{19}$$