Solve 33/5-22/12=

$$3 \frac { 3 } { 5 } - 2 \frac { 2 } { 12 } =$$

Evaluate

$$\frac{43}{30}\approx 1.433333333$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+3}{5}-\frac{2\times 12+2}{12}$$

Add 15 and 3 to get 18.

$$\frac{18}{5}-\frac{2\times 12+2}{12}$$

Multiply 2 and 12 to get 24.

$$\frac{18}{5}-\frac{24+2}{12}$$

Add 24 and 2 to get 26.

$$\frac{18}{5}-\frac{26}{12}$$

Reduce the fraction \frac{26}{12} to lowest terms by extracting and canceling out 2.

$$\frac{18}{5}-\frac{13}{6}$$

Least common multiple of 5 and 6 is 30. Convert \frac{18}{5} and \frac{13}{6} to fractions with denominator 30.

$$\frac{108}{30}-\frac{65}{30}$$

Since \frac{108}{30} and \frac{65}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{108-65}{30}$$

Subtract 65 from 108 to get 43.

$$\frac{43}{30}$$

Factor

$$\frac{43}{2 \cdot 3 \cdot 5} = 1\frac{13}{30} = 1.4333333333333333$$