Solve 321/2div151/2

$$32 \frac { 1 } { 2 } \div 15 \frac { 1 } { 2 }$$

Evaluate

$$\frac{65}{31}\approx 2.096774194$$

Solution Steps

Divide \frac{32\times 2+1}{2} by \frac{15\times 2+1}{2} by multiplying \frac{32\times 2+1}{2} by the reciprocal of \frac{15\times 2+1}{2}.

$$\frac{\left(32\times 2+1\right)\times 2}{2\left(15\times 2+1\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{1+2\times 32}{1+2\times 15}$$

Multiply 2 and 32 to get 64.

$$\frac{1+64}{1+2\times 15}$$

Add 1 and 64 to get 65.

$$\frac{65}{1+2\times 15}$$

Multiply 2 and 15 to get 30.

$$\frac{65}{1+30}$$

Add 1 and 30 to get 31.

$$\frac{65}{31}$$

Factor

$$\frac{5 \cdot 13}{31} = 2\frac{3}{31} = 2.096774193548387$$