Solve 17/30-4/15

$$1 \frac { 7 } { 30 } - \frac { 4 } { 15 }$$

Evaluate

$$\frac{29}{30}\approx 0.966666667$$

Solution Steps

Multiply 1 and 30 to get 30.

$$\frac{30+7}{30}-\frac{4}{15}$$

Add 30 and 7 to get 37.

$$\frac{37}{30}-\frac{4}{15}$$

Least common multiple of 30 and 15 is 30. Convert \frac{37}{30} and \frac{4}{15} to fractions with denominator 30.

$$\frac{37}{30}-\frac{8}{30}$$

Since \frac{37}{30} and \frac{8}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{37-8}{30}$$

Subtract 8 from 37 to get 29.

$$\frac{29}{30}$$

Factor

$$\frac{29}{2 \cdot 3 \cdot 5} = 0.9666666666666667$$