Solve 27/8div51/2

$$2 \frac { 7 } { 8 } \div 5 \frac { 1 } { 2 }$$

Evaluate

$$\frac{23}{44}\approx 0.522727273$$

Solution Steps

Divide \frac{2\times 8+7}{8} by \frac{5\times 2+1}{2} by multiplying \frac{2\times 8+7}{8} by the reciprocal of \frac{5\times 2+1}{2}.

$$\frac{\left(2\times 8+7\right)\times 2}{8\left(5\times 2+1\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{7+2\times 8}{4\left(1+2\times 5\right)}$$

Multiply 2 and 8 to get 16.

$$\frac{7+16}{4\left(1+2\times 5\right)}$$

Add 7 and 16 to get 23.

$$\frac{23}{4\left(1+2\times 5\right)}$$

Multiply 2 and 5 to get 10.

$$\frac{23}{4\left(1+10\right)}$$

Add 1 and 10 to get 11.

$$\frac{23}{4\times 11}$$

Multiply 4 and 11 to get 44.

$$\frac{23}{44}$$

Factor

$$\frac{23}{2 ^ {2} \cdot 11} = 0.5227272727272727$$