Solve 33/8-5/6

$$3 \frac { 3 } { 8 } - \frac { 5 } { 6 }$$

Evaluate

$$\frac{61}{24}\approx 2.541666667$$

Solution Steps

Multiply 3 and 8 to get 24.

$$\frac{24+3}{8}-\frac{5}{6}$$

Add 24 and 3 to get 27.

$$\frac{27}{8}-\frac{5}{6}$$

Least common multiple of 8 and 6 is 24. Convert \frac{27}{8} and \frac{5}{6} to fractions with denominator 24.

$$\frac{81}{24}-\frac{20}{24}$$

Since \frac{81}{24} and \frac{20}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{81-20}{24}$$

Subtract 20 from 81 to get 61.

$$\frac{61}{24}$$

Factor

$$\frac{61}{2 ^ {3} \cdot 3} = 2\frac{13}{24} = 2.5416666666666665$$