Solve 73/8-45/6

$$7 \frac { 3 } { 8 } - 4 \frac { 5 } { 6 }$$

Evaluate

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

Solution Steps

Multiply 7 and 8 to get 56.

$$\frac{56+3}{8}-\frac{4\times 6+5}{6}$$

Add 56 and 3 to get 59.

$$\frac{59}{8}-\frac{4\times 6+5}{6}$$

Multiply 4 and 6 to get 24.

$$\frac{59}{8}-\frac{24+5}{6}$$

Add 24 and 5 to get 29.

$$\frac{59}{8}-\frac{29}{6}$$

Least common multiple of 8 and 6 is 24. Convert \frac{59}{8} and \frac{29}{6} to fractions with denominator 24.

$$\frac{177}{24}-\frac{116}{24}$$

Since \frac{177}{24} and \frac{116}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{177-116}{24}$$

Subtract 116 from 177 to get 61.

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

Factor

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