Solve 416/24+-29/24

$$4 \frac{ 16 }{ 24 } +-2 \frac{ 9 }{ 24 }$$

Evaluate

$$\frac{55}{24}\approx 2.291666667$$

Solution Steps

Multiply 4 and 24 to get 96.

$$\frac{96+16}{24}-\frac{2\times 24+9}{24}$$

Add 96 and 16 to get 112.

$$\frac{112}{24}-\frac{2\times 24+9}{24}$$

Reduce the fraction \frac{112}{24} to lowest terms by extracting and canceling out 8.

$$\frac{14}{3}-\frac{2\times 24+9}{24}$$

Multiply 2 and 24 to get 48.

$$\frac{14}{3}-\frac{48+9}{24}$$

Add 48 and 9 to get 57.

$$\frac{14}{3}-\frac{57}{24}$$

Reduce the fraction \frac{57}{24} to lowest terms by extracting and canceling out 3.

$$\frac{14}{3}-\frac{19}{8}$$

Least common multiple of 3 and 8 is 24. Convert \frac{14}{3} and \frac{19}{8} to fractions with denominator 24.

$$\frac{112}{24}-\frac{57}{24}$$

Since \frac{112}{24} and \frac{57}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{112-57}{24}$$

Subtract 57 from 112 to get 55.

$$\frac{55}{24}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {3} \cdot 3} = 2\frac{7}{24} = 2.2916666666666665$$