Solve 1/3:1/4:1/5

$$\frac { 1 } { 3 } : \frac { 1 } { 4 } : \frac { 1 } { 5 }$$

Evaluate

$$\frac{20}{3}\approx 6.666666667$$

Solution Steps

Divide \frac{\frac{1}{3}}{\frac{1}{4}} by \frac{1}{5} by multiplying \frac{\frac{1}{3}}{\frac{1}{4}} by the reciprocal of \frac{1}{5}.

$$\frac{\frac{1}{3}\times 5}{\frac{1}{4}}$$

Multiply \frac{1}{3} and 5 to get \frac{5}{3}.

$$\frac{\frac{5}{3}}{\frac{1}{4}}$$

Divide \frac{5}{3} by \frac{1}{4} by multiplying \frac{5}{3} by the reciprocal of \frac{1}{4}.

$$\frac{5}{3}\times 4$$

Express \frac{5}{3}\times 4 as a single fraction.

$$\frac{5\times 4}{3}$$

Multiply 5 and 4 to get 20.

$$\frac{20}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3} = 6\frac{2}{3} = 6.666666666666667$$