Solve 257/54+-547/54

$$25 \frac{ 7 }{ 54 } +-5 \frac{ 47 }{ 54 }$$

Evaluate

$$\frac{520}{27}\approx 19.259259259$$

Solution Steps

Multiply 25 and 54 to get 1350.

$$\frac{1350+7}{54}-\frac{5\times 54+47}{54}$$

Add 1350 and 7 to get 1357.

$$\frac{1357}{54}-\frac{5\times 54+47}{54}$$

Multiply 5 and 54 to get 270.

$$\frac{1357}{54}-\frac{270+47}{54}$$

Add 270 and 47 to get 317.

$$\frac{1357}{54}-\frac{317}{54}$$

Since \frac{1357}{54} and \frac{317}{54} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1357-317}{54}$$

Subtract 317 from 1357 to get 1040.

$$\frac{1040}{54}$$

Reduce the fraction \frac{1040}{54} to lowest terms by extracting and canceling out 2.

$$\frac{520}{27}$$

Factor

$$\frac{2 ^ {3} \cdot 5 \cdot 13}{3 ^ {3}} = 19\frac{7}{27} = 19.25925925925926$$