Solve 71/3div11/3

$$7 \frac { 1 } { 3 } \div 1 \frac { 1 } { 3 }$$

Evaluate

$$\frac{11}{2}=5.5$$

Solution Steps

Divide \frac{7\times 3+1}{3} by \frac{1\times 3+1}{3} by multiplying \frac{7\times 3+1}{3} by the reciprocal of \frac{1\times 3+1}{3}.

$$\frac{\left(7\times 3+1\right)\times 3}{3\left(1\times 3+1\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{1+3\times 7}{1+3}$$

Multiply 3 and 7 to get 21.

$$\frac{1+21}{1+3}$$

Add 1 and 21 to get 22.

$$\frac{22}{1+3}$$

Add 1 and 3 to get 4.

$$\frac{22}{4}$$

Reduce the fraction \frac{22}{4} to lowest terms by extracting and canceling out 2.

$$\frac{11}{2}$$

Factor

$$\frac{11}{2} = 5\frac{1}{2} = 5.5$$