Solve 4/5-48/35-77/15

$$\frac { 4 } { 5 } - \frac { 48 } { 35 } - \frac { 77 } { 15 }$$

Evaluate

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

Solution Steps

Least common multiple of 5 and 35 is 35. Convert \frac{4}{5} and \frac{48}{35} to fractions with denominator 35.

$$\frac{28}{35}-\frac{48}{35}-\frac{77}{15}$$

Since \frac{28}{35} and \frac{48}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{28-48}{35}-\frac{77}{15}$$

Subtract 48 from 28 to get -20.

$$\frac{-20}{35}-\frac{77}{15}$$

Reduce the fraction \frac{-20}{35} to lowest terms by extracting and canceling out 5.

$$-\frac{4}{7}-\frac{77}{15}$$

Least common multiple of 7 and 15 is 105. Convert -\frac{4}{7} and \frac{77}{15} to fractions with denominator 105.

$$-\frac{60}{105}-\frac{539}{105}$$

Since -\frac{60}{105} and \frac{539}{105} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-60-539}{105}$$

Subtract 539 from -60 to get -599.

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

Factor

$$-\frac{599}{105} = -5\frac{74}{105} = -5.704761904761905$$