Solve 92/3-quad63/8

$$9 \frac { 2 } { 3 } - \quad 6 \frac { 3 } { 8 }$$

Evaluate

$$\frac{79}{24}\approx 3.291666667$$

Solution Steps

Multiply 9 and 3 to get 27.

$$\frac{27+2}{3}-\frac{6\times 8+3}{8}$$

Add 27 and 2 to get 29.

$$\frac{29}{3}-\frac{6\times 8+3}{8}$$

Multiply 6 and 8 to get 48.

$$\frac{29}{3}-\frac{48+3}{8}$$

Add 48 and 3 to get 51.

$$\frac{29}{3}-\frac{51}{8}$$

Least common multiple of 3 and 8 is 24. Convert \frac{29}{3} and \frac{51}{8} to fractions with denominator 24.

$$\frac{232}{24}-\frac{153}{24}$$

Since \frac{232}{24} and \frac{153}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{232-153}{24}$$

Subtract 153 from 232 to get 79.

$$\frac{79}{24}$$

Factor

$$\frac{79}{2 ^ {3} \cdot 3} = 3\frac{7}{24} = 3.2916666666666665$$