Solve 13/5:(3/5:1/4)

$$\frac { 13 } { 5 } : ( \frac { 3 } { 5 } : \frac { 1 } { 4 } )$$

Evaluate

$$\frac{13}{12}\approx 1.083333333$$

Solution Steps

Divide \frac{13}{5} by \frac{\frac{3}{5}}{\frac{1}{4}} by multiplying \frac{13}{5} by the reciprocal of \frac{\frac{3}{5}}{\frac{1}{4}}.

$$\frac{13\times \frac{1}{4}}{5\times \frac{3}{5}}$$

Multiply 13 and \frac{1}{4} to get \frac{13}{4}.

$$\frac{\frac{13}{4}}{5\times \frac{3}{5}}$$

Cancel out 5 and 5.

$$\frac{\frac{13}{4}}{3}$$

Express \frac{\frac{13}{4}}{3} as a single fraction.

$$\frac{13}{4\times 3}$$

Multiply 4 and 3 to get 12.

$$\frac{13}{12}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 3} = 1\frac{1}{12} = 1.0833333333333333$$