Solve 55/6-22/5

$$5 \frac { 5 } { 6 } - 2 \frac { 2 } { 5 }$$

Evaluate

$$\frac{103}{30}\approx 3.433333333$$

Solution Steps

Multiply 5 and 6 to get 30.

$$\frac{30+5}{6}-\frac{2\times 5+2}{5}$$

Add 30 and 5 to get 35.

$$\frac{35}{6}-\frac{2\times 5+2}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{35}{6}-\frac{10+2}{5}$$

Add 10 and 2 to get 12.

$$\frac{35}{6}-\frac{12}{5}$$

Least common multiple of 6 and 5 is 30. Convert \frac{35}{6} and \frac{12}{5} to fractions with denominator 30.

$$\frac{175}{30}-\frac{72}{30}$$

Since \frac{175}{30} and \frac{72}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{175-72}{30}$$

Subtract 72 from 175 to get 103.

$$\frac{103}{30}$$

Factor

$$\frac{103}{2 \cdot 3 \cdot 5} = 3\frac{13}{30} = 3.433333333333333$$