Solve 459/60-(5/12+16/15)

$$4 \frac { 59 } { 60 } - ( \frac { 5 } { 12 } + \frac { 16 } { 15 } )$$

Evaluate

$$\frac{7}{2}=3.5$$

Solution Steps

Multiply 4 and 60 to get 240.

$$\frac{240+59}{60}-\left(\frac{5}{12}+\frac{16}{15}\right)$$

Add 240 and 59 to get 299.

$$\frac{299}{60}-\left(\frac{5}{12}+\frac{16}{15}\right)$$

Least common multiple of 12 and 15 is 60. Convert \frac{5}{12} and \frac{16}{15} to fractions with denominator 60.

$$\frac{299}{60}-\left(\frac{25}{60}+\frac{64}{60}\right)$$

Since \frac{25}{60} and \frac{64}{60} have the same denominator, add them by adding their numerators.

$$\frac{299}{60}-\frac{25+64}{60}$$

Add 25 and 64 to get 89.

$$\frac{299}{60}-\frac{89}{60}$$

Since \frac{299}{60} and \frac{89}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{299-89}{60}$$

Subtract 89 from 299 to get 210.

$$\frac{210}{60}$$

Reduce the fraction \frac{210}{60} to lowest terms by extracting and canceling out 30.

$$\frac{7}{2}$$

Factor

$$\frac{7}{2} = 3\frac{1}{2} = 3.5$$