Solve 35/6-13/5

$$3 \frac { 5 } { 6 } - 1 \frac { 3 } { 5 }$$

Evaluate

$$\frac{67}{30}\approx 2.233333333$$

Solution Steps

Multiply 3 and 6 to get 18.

$$\frac{18+5}{6}-\frac{1\times 5+3}{5}$$

Add 18 and 5 to get 23.

$$\frac{23}{6}-\frac{1\times 5+3}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{23}{6}-\frac{5+3}{5}$$

Add 5 and 3 to get 8.

$$\frac{23}{6}-\frac{8}{5}$$

Least common multiple of 6 and 5 is 30. Convert \frac{23}{6} and \frac{8}{5} to fractions with denominator 30.

$$\frac{115}{30}-\frac{48}{30}$$

Since \frac{115}{30} and \frac{48}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{115-48}{30}$$

Subtract 48 from 115 to get 67.

$$\frac{67}{30}$$

Factor

$$\frac{67}{2 \cdot 3 \cdot 5} = 2\frac{7}{30} = 2.2333333333333334$$