Solve 92/15-3/7

$$\frac{ 92 }{ 15 } - \frac{ 3 }{ 7 }$$

Evaluate

$$\frac{599}{105}\approx 5.704761905$$

Solution Steps

Least common multiple of 15 and 7 is 105. Convert \frac{92}{15} and \frac{3}{7} to fractions with denominator 105.

$$\frac{644}{105}-\frac{45}{105}$$

Since \frac{644}{105} and \frac{45}{105} have the same denominator, subtract them by subtracting their numerators.

$$\frac{644-45}{105}$$

Subtract 45 from 644 to get 599.

$$\frac{599}{105}$$

Factor

$$\frac{599}{3 \cdot 5 \cdot 7} = 5\frac{74}{105} = 5.704761904761905$$