Solve 71/2div21/2

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

Evaluate

$$3$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

$$\frac{1+2\times 7}{1+2\times 2}$$

Multiply 2 and 7 to get 14.

$$\frac{1+14}{1+2\times 2}$$

Add 1 and 14 to get 15.

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

Multiply 2 and 2 to get 4.

$$\frac{15}{1+4}$$

Add 1 and 4 to get 5.

$$\frac{15}{5}$$

Divide 15 by 5 to get 3.

$$3$$

Factor

$$3$$