Solve left(3/5+1/4right)*60-27

$$\left( \frac{ 3 }{ 5 } + \frac{ 1 }{ 4 } \right) \times 60-27$$

Evaluate

$$24$$

Solution Steps

Least common multiple of 5 and 4 is 20. Convert \frac{3}{5} and \frac{1}{4} to fractions with denominator 20.

$$\left(\frac{12}{20}+\frac{5}{20}\right)\times 60-27$$

Since \frac{12}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$\frac{12+5}{20}\times 60-27$$

Add 12 and 5 to get 17.

$$\frac{17}{20}\times 60-27$$

Express \frac{17}{20}\times 60 as a single fraction.

$$\frac{17\times 60}{20}-27$$

Multiply 17 and 60 to get 1020.

$$\frac{1020}{20}-27$$

Divide 1020 by 20 to get 51.

$$51-27$$

Subtract 27 from 51 to get 24.

$$24$$

Factor

$$2^{3}\times 3$$