Solve 67/8-41/3

$$6 \frac{ 7 }{ 8 } -4 \frac{ 1 }{ 3 }$$

Evaluate

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

Solution Steps

Multiply 6 and 8 to get 48.

$$\frac{48+7}{8}-\frac{4\times 3+1}{3}$$

Add 48 and 7 to get 55.

$$\frac{55}{8}-\frac{4\times 3+1}{3}$$

Multiply 4 and 3 to get 12.

$$\frac{55}{8}-\frac{12+1}{3}$$

Add 12 and 1 to get 13.

$$\frac{55}{8}-\frac{13}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{55}{8} and \frac{13}{3} to fractions with denominator 24.

$$\frac{165}{24}-\frac{104}{24}$$

Since \frac{165}{24} and \frac{104}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{165-104}{24}$$

Subtract 104 from 165 to get 61.

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

Factor

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