Solve 11/2+22/3-31/4

$$1 \frac { 1 } { 2 } + 2 \frac { 2 } { 3 } - 3 \frac { 1 } { 4 }$$

Evaluate

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

Solution Steps

Multiply 1 and 2 to get 2.

$$\frac{2+1}{2}+\frac{2\times 3+2}{3}-\frac{3\times 4+1}{4}$$

Add 2 and 1 to get 3.

$$\frac{3}{2}+\frac{2\times 3+2}{3}-\frac{3\times 4+1}{4}$$

Multiply 2 and 3 to get 6.

$$\frac{3}{2}+\frac{6+2}{3}-\frac{3\times 4+1}{4}$$

Add 6 and 2 to get 8.

$$\frac{3}{2}+\frac{8}{3}-\frac{3\times 4+1}{4}$$

Least common multiple of 2 and 3 is 6. Convert \frac{3}{2} and \frac{8}{3} to fractions with denominator 6.

$$\frac{9}{6}+\frac{16}{6}-\frac{3\times 4+1}{4}$$

Since \frac{9}{6} and \frac{16}{6} have the same denominator, add them by adding their numerators.

$$\frac{9+16}{6}-\frac{3\times 4+1}{4}$$

Add 9 and 16 to get 25.

$$\frac{25}{6}-\frac{3\times 4+1}{4}$$

Multiply 3 and 4 to get 12.

$$\frac{25}{6}-\frac{12+1}{4}$$

Add 12 and 1 to get 13.

$$\frac{25}{6}-\frac{13}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{25}{6} and \frac{13}{4} to fractions with denominator 12.

$$\frac{50}{12}-\frac{39}{12}$$

Since \frac{50}{12} and \frac{39}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{50-39}{12}$$

Subtract 39 from 50 to get 11.

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

Factor

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