Solve 93/5+75/12

$$9 \frac { 3 } { 5 } + 7 \frac { 5 } { 12 }$$

Evaluate

$$\frac{1021}{60}\approx 17.016666667$$

Solution Steps

Multiply 9 and 5 to get 45.

$$\frac{45+3}{5}+\frac{7\times 12+5}{12}$$

Add 45 and 3 to get 48.

$$\frac{48}{5}+\frac{7\times 12+5}{12}$$

Multiply 7 and 12 to get 84.

$$\frac{48}{5}+\frac{84+5}{12}$$

Add 84 and 5 to get 89.

$$\frac{48}{5}+\frac{89}{12}$$

Least common multiple of 5 and 12 is 60. Convert \frac{48}{5} and \frac{89}{12} to fractions with denominator 60.

$$\frac{576}{60}+\frac{445}{60}$$

Since \frac{576}{60} and \frac{445}{60} have the same denominator, add them by adding their numerators.

$$\frac{576+445}{60}$$

Add 576 and 445 to get 1021.

$$\frac{1021}{60}$$

Factor

$$\frac{1021}{2 ^ {2} \cdot 3 \cdot 5} = 17\frac{1}{60} = 17.016666666666666$$