Solve {r}{143/10}{15}{+285/12}

$$\left. \begin{array} { r } { 14 \frac { 3 } { 10 } } \\ { 15 } \\ { + 28 \frac { 5 } { 12 } } \end{array} \right.$$

Evaluate

$$\frac{3463}{60}\approx 57.716666667$$

Solution Steps

Multiply 14 and 10 to get 140.

$$\frac{140+3}{10}+15+\frac{28\times 12+5}{12}$$

Add 140 and 3 to get 143.

$$\frac{143}{10}+15+\frac{28\times 12+5}{12}$$

Convert 15 to fraction \frac{150}{10}.

$$\frac{143}{10}+\frac{150}{10}+\frac{28\times 12+5}{12}$$

Since \frac{143}{10} and \frac{150}{10} have the same denominator, add them by adding their numerators.

$$\frac{143+150}{10}+\frac{28\times 12+5}{12}$$

Add 143 and 150 to get 293.

$$\frac{293}{10}+\frac{28\times 12+5}{12}$$

Multiply 28 and 12 to get 336.

$$\frac{293}{10}+\frac{336+5}{12}$$

Add 336 and 5 to get 341.

$$\frac{293}{10}+\frac{341}{12}$$

Least common multiple of 10 and 12 is 60. Convert \frac{293}{10} and \frac{341}{12} to fractions with denominator 60.

$$\frac{1758}{60}+\frac{1705}{60}$$

Since \frac{1758}{60} and \frac{1705}{60} have the same denominator, add them by adding their numerators.

$$\frac{1758+1705}{60}$$

Add 1758 and 1705 to get 3463.

$$\frac{3463}{60}$$

Factor

$$\frac{3463}{2 ^ {2} \cdot 3 \cdot 5} = 57\frac{43}{60} = 57.71666666666667$$