Solve 151/2+22/3-91/4

$$15 \frac{ 1 }{ 2 } +2 \frac{ 2 }{ 3 } -9 \frac{ 1 }{ 4 }$$

Evaluate

$$\frac{107}{12}\approx 8.916666667$$

Solution Steps

Multiply 15 and 2 to get 30.

$$\frac{30+1}{2}+\frac{2\times 3+2}{3}-\frac{9\times 4+1}{4}$$

Add 30 and 1 to get 31.

$$\frac{31}{2}+\frac{2\times 3+2}{3}-\frac{9\times 4+1}{4}$$

Multiply 2 and 3 to get 6.

$$\frac{31}{2}+\frac{6+2}{3}-\frac{9\times 4+1}{4}$$

Add 6 and 2 to get 8.

$$\frac{31}{2}+\frac{8}{3}-\frac{9\times 4+1}{4}$$

Least common multiple of 2 and 3 is 6. Convert \frac{31}{2} and \frac{8}{3} to fractions with denominator 6.

$$\frac{93}{6}+\frac{16}{6}-\frac{9\times 4+1}{4}$$

Since \frac{93}{6} and \frac{16}{6} have the same denominator, add them by adding their numerators.

$$\frac{93+16}{6}-\frac{9\times 4+1}{4}$$

Add 93 and 16 to get 109.

$$\frac{109}{6}-\frac{9\times 4+1}{4}$$

Multiply 9 and 4 to get 36.

$$\frac{109}{6}-\frac{36+1}{4}$$

Add 36 and 1 to get 37.

$$\frac{109}{6}-\frac{37}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{109}{6} and \frac{37}{4} to fractions with denominator 12.

$$\frac{218}{12}-\frac{111}{12}$$

Since \frac{218}{12} and \frac{111}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{218-111}{12}$$

Subtract 111 from 218 to get 107.

$$\frac{107}{12}$$

Factor

$$\frac{107}{2 ^ {2} \cdot 3} = 8\frac{11}{12} = 8.916666666666666$$