Solve 3/4-7/30=

$$\frac { 3 } { 4 } - \frac { 7 } { 30 } =$$

Evaluate

$$\frac{31}{60}\approx 0.516666667$$

Solution Steps

Least common multiple of 4 and 30 is 60. Convert \frac{3}{4} and \frac{7}{30} to fractions with denominator 60.

$$\frac{45}{60}-\frac{14}{60}$$

Since \frac{45}{60} and \frac{14}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-14}{60}$$

Subtract 14 from 45 to get 31.

$$\frac{31}{60}$$

Factor

$$\frac{31}{2 ^ {2} \cdot 3 \cdot 5} = 0.5166666666666667$$