Solve 25/8-21/6+1/12

$$2 \frac { 5 } { 8 } - 2 \frac { 1 } { 6 } + \frac { 1 } { 12 }$$

Evaluate

$$\frac{13}{24}\approx 0.541666667$$

Solution Steps

Multiply 2 and 8 to get 16.

$$\frac{16+5}{8}-\frac{2\times 6+1}{6}+\frac{1}{12}$$

Add 16 and 5 to get 21.

$$\frac{21}{8}-\frac{2\times 6+1}{6}+\frac{1}{12}$$

Multiply 2 and 6 to get 12.

$$\frac{21}{8}-\frac{12+1}{6}+\frac{1}{12}$$

Add 12 and 1 to get 13.

$$\frac{21}{8}-\frac{13}{6}+\frac{1}{12}$$

Least common multiple of 8 and 6 is 24. Convert \frac{21}{8} and \frac{13}{6} to fractions with denominator 24.

$$\frac{63}{24}-\frac{52}{24}+\frac{1}{12}$$

Since \frac{63}{24} and \frac{52}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{63-52}{24}+\frac{1}{12}$$

Subtract 52 from 63 to get 11.

$$\frac{11}{24}+\frac{1}{12}$$

Least common multiple of 24 and 12 is 24. Convert \frac{11}{24} and \frac{1}{12} to fractions with denominator 24.

$$\frac{11}{24}+\frac{2}{24}$$

Since \frac{11}{24} and \frac{2}{24} have the same denominator, add them by adding their numerators.

$$\frac{11+2}{24}$$

Add 11 and 2 to get 13.

$$\frac{13}{24}$$

Factor

$$\frac{13}{2 ^ {3} \cdot 3} = 0.5416666666666666$$