Solve 3+-29/60-17/20

$$3 + \frac { - 29 } { 60 } - \frac { 17 } { 20 }$$

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

Fraction \frac{-29}{60} can be rewritten as -\frac{29}{60} by extracting the negative sign.

$$3-\frac{29}{60}-\frac{17}{20}$$

Convert 3 to fraction \frac{180}{60}.

$$\frac{180}{60}-\frac{29}{60}-\frac{17}{20}$$

Since \frac{180}{60} and \frac{29}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{180-29}{60}-\frac{17}{20}$$

Subtract 29 from 180 to get 151.

$$\frac{151}{60}-\frac{17}{20}$$

Least common multiple of 60 and 20 is 60. Convert \frac{151}{60} and \frac{17}{20} to fractions with denominator 60.

$$\frac{151}{60}-\frac{51}{60}$$

Since \frac{151}{60} and \frac{51}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{151-51}{60}$$

Subtract 51 from 151 to get 100.

$$\frac{100}{60}$$

Reduce the fraction \frac{100}{60} to lowest terms by extracting and canceling out 20.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$