Solve 45/12+25/6+15/12

$$4 \frac{ 5 }{ 12 } +2 \frac{ 5 }{ 6 } +1 \frac{ 5 }{ 12 }$$

Evaluate

$$\frac{26}{3}\approx 8.666666667$$

Solution Steps

Multiply 4 and 12 to get 48.

$$\frac{48+5}{12}+\frac{2\times 6+5}{6}+\frac{1\times 12+5}{12}$$

Add 48 and 5 to get 53.

$$\frac{53}{12}+\frac{2\times 6+5}{6}+\frac{1\times 12+5}{12}$$

Multiply 2 and 6 to get 12.

$$\frac{53}{12}+\frac{12+5}{6}+\frac{1\times 12+5}{12}$$

Add 12 and 5 to get 17.

$$\frac{53}{12}+\frac{17}{6}+\frac{1\times 12+5}{12}$$

Least common multiple of 12 and 6 is 12. Convert \frac{53}{12} and \frac{17}{6} to fractions with denominator 12.

$$\frac{53}{12}+\frac{34}{12}+\frac{1\times 12+5}{12}$$

Since \frac{53}{12} and \frac{34}{12} have the same denominator, add them by adding their numerators.

$$\frac{53+34}{12}+\frac{1\times 12+5}{12}$$

Add 53 and 34 to get 87.

$$\frac{87}{12}+\frac{1\times 12+5}{12}$$

Reduce the fraction \frac{87}{12} to lowest terms by extracting and canceling out 3.

$$\frac{29}{4}+\frac{1\times 12+5}{12}$$

Multiply 1 and 12 to get 12.

$$\frac{29}{4}+\frac{12+5}{12}$$

Add 12 and 5 to get 17.

$$\frac{29}{4}+\frac{17}{12}$$

Least common multiple of 4 and 12 is 12. Convert \frac{29}{4} and \frac{17}{12} to fractions with denominator 12.

$$\frac{87}{12}+\frac{17}{12}$$

Since \frac{87}{12} and \frac{17}{12} have the same denominator, add them by adding their numerators.

$$\frac{87+17}{12}$$

Add 87 and 17 to get 104.

$$\frac{104}{12}$$

Reduce the fraction \frac{104}{12} to lowest terms by extracting and canceling out 4.

$$\frac{26}{3}$$

Factor

$$\frac{2 \cdot 13}{3} = 8\frac{2}{3} = 8.666666666666666$$