Solve 54-81/5-27/7

$$54 - \frac { 81 } { 5 } - \frac { 27 } { 7 }$$

Evaluate

$$\frac{1188}{35}\approx 33.942857143$$

Solution Steps

Convert 54 to fraction \frac{270}{5}.

$$\frac{270}{5}-\frac{81}{5}-\frac{27}{7}$$

Since \frac{270}{5} and \frac{81}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{270-81}{5}-\frac{27}{7}$$

Subtract 81 from 270 to get 189.

$$\frac{189}{5}-\frac{27}{7}$$

Least common multiple of 5 and 7 is 35. Convert \frac{189}{5} and \frac{27}{7} to fractions with denominator 35.

$$\frac{1323}{35}-\frac{135}{35}$$

Since \frac{1323}{35} and \frac{135}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1323-135}{35}$$

Subtract 135 from 1323 to get 1188.

$$\frac{1188}{35}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {3} \cdot 11}{5 \cdot 7} = 33\frac{33}{35} = 33.94285714285714$$