Solve 42/3+-23/8

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

Evaluate

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

Solution Steps

Multiply 4 and 3 to get 12.

$$\frac{12+2}{3}-\frac{2\times 8+3}{8}$$

Add 12 and 2 to get 14.

$$\frac{14}{3}-\frac{2\times 8+3}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{14}{3}-\frac{16+3}{8}$$

Add 16 and 3 to get 19.

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

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

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