Solve 21/8div11/2

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

Evaluate

$$\frac{17}{12}\approx 1.416666667$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

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

Multiply 2 and 8 to get 16.

$$\frac{1+16}{4\left(1+2\right)}$$

Add 1 and 16 to get 17.

$$\frac{17}{4\left(1+2\right)}$$

Add 1 and 2 to get 3.

$$\frac{17}{4\times 3}$$

Multiply 4 and 3 to get 12.

$$\frac{17}{12}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 3} = 1\frac{5}{12} = 1.4166666666666667$$