Solve 13/8div41/2

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

Evaluate

$$\frac{11}{36}\approx 0.305555556$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

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

Add 3 and 8 to get 11.

$$\frac{11}{4\left(1+2\times 4\right)}$$

Multiply 2 and 4 to get 8.

$$\frac{11}{4\left(1+8\right)}$$

Add 1 and 8 to get 9.

$$\frac{11}{4\times 9}$$

Multiply 4 and 9 to get 36.

$$\frac{11}{36}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 3 ^ {2}} = 0.3055555555555556$$