Solve 15/12+24/5+1/4

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

Evaluate

$$\frac{67}{15}\approx 4.466666667$$

Solution Steps

Multiply 1 and 12 to get 12.

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

Add 12 and 5 to get 17.

$$\frac{17}{12}+\frac{2\times 5+4}{5}+\frac{1}{4}$$

Multiply 2 and 5 to get 10.

$$\frac{17}{12}+\frac{10+4}{5}+\frac{1}{4}$$

Add 10 and 4 to get 14.

$$\frac{17}{12}+\frac{14}{5}+\frac{1}{4}$$

Least common multiple of 12 and 5 is 60. Convert \frac{17}{12} and \frac{14}{5} to fractions with denominator 60.

$$\frac{85}{60}+\frac{168}{60}+\frac{1}{4}$$

Since \frac{85}{60} and \frac{168}{60} have the same denominator, add them by adding their numerators.

$$\frac{85+168}{60}+\frac{1}{4}$$

Add 85 and 168 to get 253.

$$\frac{253}{60}+\frac{1}{4}$$

Least common multiple of 60 and 4 is 60. Convert \frac{253}{60} and \frac{1}{4} to fractions with denominator 60.

$$\frac{253}{60}+\frac{15}{60}$$

Since \frac{253}{60} and \frac{15}{60} have the same denominator, add them by adding their numerators.

$$\frac{253+15}{60}$$

Add 253 and 15 to get 268.

$$\frac{268}{60}$$

Reduce the fraction \frac{268}{60} to lowest terms by extracting and canceling out 4.

$$\frac{67}{15}$$

Factor

$$\frac{67}{3 \cdot 5} = 4\frac{7}{15} = 4.466666666666667$$