Solve 1/3+15/6-11/4

$$\frac{ 1 }{ 3 } +1 \frac{ 5 }{ 6 } -1 \frac{ 1 }{ 4 }$$

Evaluate

$$\frac{11}{12}\approx 0.916666667$$

Solution Steps

Multiply 1 and 6 to get 6.

$$\frac{1}{3}+\frac{6+5}{6}-\frac{1\times 4+1}{4}$$

Add 6 and 5 to get 11.

$$\frac{1}{3}+\frac{11}{6}-\frac{1\times 4+1}{4}$$

Least common multiple of 3 and 6 is 6. Convert \frac{1}{3} and \frac{11}{6} to fractions with denominator 6.

$$\frac{2}{6}+\frac{11}{6}-\frac{1\times 4+1}{4}$$

Since \frac{2}{6} and \frac{11}{6} have the same denominator, add them by adding their numerators.

$$\frac{2+11}{6}-\frac{1\times 4+1}{4}$$

Add 2 and 11 to get 13.

$$\frac{13}{6}-\frac{1\times 4+1}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{13}{6}-\frac{4+1}{4}$$

Add 4 and 1 to get 5.

$$\frac{13}{6}-\frac{5}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{13}{6} and \frac{5}{4} to fractions with denominator 12.

$$\frac{26}{12}-\frac{15}{12}$$

Since \frac{26}{12} and \frac{15}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-15}{12}$$

Subtract 15 from 26 to get 11.

$$\frac{11}{12}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 3} = 0.9166666666666666$$