Solve 38/15-229/30

$$3 \frac { 8 } { 15 } - 2 \frac { 29 } { 30 }$$

Evaluate

$$\frac{17}{30}\approx 0.566666667$$

Solution Steps

Multiply 3 and 15 to get 45.

$$\frac{45+8}{15}-\frac{2\times 30+29}{30}$$

Add 45 and 8 to get 53.

$$\frac{53}{15}-\frac{2\times 30+29}{30}$$

Multiply 2 and 30 to get 60.

$$\frac{53}{15}-\frac{60+29}{30}$$

Add 60 and 29 to get 89.

$$\frac{53}{15}-\frac{89}{30}$$

Least common multiple of 15 and 30 is 30. Convert \frac{53}{15} and \frac{89}{30} to fractions with denominator 30.

$$\frac{106}{30}-\frac{89}{30}$$

Since \frac{106}{30} and \frac{89}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{106-89}{30}$$

Subtract 89 from 106 to get 17.

$$\frac{17}{30}$$

Factor

$$\frac{17}{2 \cdot 3 \cdot 5} = 0.5666666666666667$$