Solve 651/2div57/16

$$65 \frac { 1 } { 2 } \div 5 \frac { 7 } { 16 }$$

Evaluate

$$\frac{1048}{87}\approx 12.045977011$$

Solution Steps

Divide \frac{65\times 2+1}{2} by \frac{5\times 16+7}{16} by multiplying \frac{65\times 2+1}{2} by the reciprocal of \frac{5\times 16+7}{16}.

$$\frac{\left(65\times 2+1\right)\times 16}{2\left(5\times 16+7\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{8\left(1+2\times 65\right)}{7+5\times 16}$$

Multiply 2 and 65 to get 130.

$$\frac{8\left(1+130\right)}{7+5\times 16}$$

Add 1 and 130 to get 131.

$$\frac{8\times 131}{7+5\times 16}$$

Multiply 8 and 131 to get 1048.

$$\frac{1048}{7+5\times 16}$$

Multiply 5 and 16 to get 80.

$$\frac{1048}{7+80}$$

Add 7 and 80 to get 87.

$$\frac{1048}{87}$$

Factor

$$\frac{2 ^ {3} \cdot 131}{3 \cdot 29} = 12\frac{4}{87} = 12.045977011494253$$