Solve 51/3div11/7

$$5 \frac { 1 } { 3 } \div 1 \frac { 1 } { 7 }$$

Evaluate

$$\frac{14}{3}\approx 4.666666667$$

Solution Steps

Divide \frac{5\times 3+1}{3} by \frac{1\times 7+1}{7} by multiplying \frac{5\times 3+1}{3} by the reciprocal of \frac{1\times 7+1}{7}.

$$\frac{\left(5\times 3+1\right)\times 7}{3\left(1\times 7+1\right)}$$

Multiply 5 and 3 to get 15.

$$\frac{\left(15+1\right)\times 7}{3\left(1\times 7+1\right)}$$

Add 15 and 1 to get 16.

$$\frac{16\times 7}{3\left(1\times 7+1\right)}$$

Multiply 16 and 7 to get 112.

$$\frac{112}{3\left(1\times 7+1\right)}$$

Multiply 1 and 7 to get 7.

$$\frac{112}{3\left(7+1\right)}$$

Add 7 and 1 to get 8.

$$\frac{112}{3\times 8}$$

Multiply 3 and 8 to get 24.

$$\frac{112}{24}$$

Reduce the fraction \frac{112}{24} to lowest terms by extracting and canceling out 8.

$$\frac{14}{3}$$

Factor

$$\frac{2 \cdot 7}{3} = 4\frac{2}{3} = 4.666666666666667$$