Solve 45/6-33/5

$$4 \frac{ 5 }{ 6 } -3 \frac{ 3 }{ 5 }$$

Evaluate

$$\frac{37}{30}\approx 1.233333333$$

Solution Steps

Multiply 4 and 6 to get 24.

$$\frac{24+5}{6}-\frac{3\times 5+3}{5}$$

Add 24 and 5 to get 29.

$$\frac{29}{6}-\frac{3\times 5+3}{5}$$

Multiply 3 and 5 to get 15.

$$\frac{29}{6}-\frac{15+3}{5}$$

Add 15 and 3 to get 18.

$$\frac{29}{6}-\frac{18}{5}$$

Least common multiple of 6 and 5 is 30. Convert \frac{29}{6} and \frac{18}{5} to fractions with denominator 30.

$$\frac{145}{30}-\frac{108}{30}$$

Since \frac{145}{30} and \frac{108}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{145-108}{30}$$

Subtract 108 from 145 to get 37.

$$\frac{37}{30}$$

Factor

$$\frac{37}{2 \cdot 3 \cdot 5} = 1\frac{7}{30} = 1.2333333333333334$$