Solve (7/6-4/5)*300=

$$( \frac { 7 } { 6 } - \frac { 4 } { 5 } ) \times 300 =$$

Evaluate

$$110$$

Solution Steps

Least common multiple of 6 and 5 is 30. Convert \frac{7}{6} and \frac{4}{5} to fractions with denominator 30.

$$\left(\frac{35}{30}-\frac{24}{30}\right)\times 300$$

Since \frac{35}{30} and \frac{24}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-24}{30}\times 300$$

Subtract 24 from 35 to get 11.

$$\frac{11}{30}\times 300$$

Express \frac{11}{30}\times 300 as a single fraction.

$$\frac{11\times 300}{30}$$

Multiply 11 and 300 to get 3300.

$$\frac{3300}{30}$$

Divide 3300 by 30 to get 110.

$$110$$

Factor

$$2\times 5\times 11$$