Solve 45/8-5/6=

$$4 \frac { 5 } { 8 } - \frac { 5 } { 6 } =$$

Evaluate

$$\frac{91}{24}\approx 3.791666667$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{32+5}{8}-\frac{5}{6}$$

Add 32 and 5 to get 37.

$$\frac{37}{8}-\frac{5}{6}$$

Least common multiple of 8 and 6 is 24. Convert \frac{37}{8} and \frac{5}{6} to fractions with denominator 24.

$$\frac{111}{24}-\frac{20}{24}$$

Since \frac{111}{24} and \frac{20}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{111-20}{24}$$

Subtract 20 from 111 to get 91.

$$\frac{91}{24}$$

Factor

$$\frac{7 \cdot 13}{2 ^ {3} \cdot 3} = 3\frac{19}{24} = 3.7916666666666665$$