Solve 71/2div25/8

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

Evaluate

$$\frac{20}{7}\approx 2.857142857$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

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

Multiply 2 and 7 to get 14.

$$\frac{4\left(1+14\right)}{5+2\times 8}$$

Add 1 and 14 to get 15.

$$\frac{4\times 15}{5+2\times 8}$$

Multiply 4 and 15 to get 60.

$$\frac{60}{5+2\times 8}$$

Multiply 2 and 8 to get 16.

$$\frac{60}{5+16}$$

Add 5 and 16 to get 21.

$$\frac{60}{21}$$

Reduce the fraction \frac{60}{21} to lowest terms by extracting and canceling out 3.

$$\frac{20}{7}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{7} = 2\frac{6}{7} = 2.857142857142857$$