Solve 3/24-4/162

$$\frac { 3 } { 24 } - \frac { 4 } { 162 }$$

Evaluate

$$\frac{65}{648}\approx 0.100308642$$

Solution Steps

Reduce the fraction \frac{3}{24} to lowest terms by extracting and canceling out 3.

$$\frac{1}{8}-\frac{4}{162}$$

Reduce the fraction \frac{4}{162} to lowest terms by extracting and canceling out 2.

$$\frac{1}{8}-\frac{2}{81}$$

Least common multiple of 8 and 81 is 648. Convert \frac{1}{8} and \frac{2}{81} to fractions with denominator 648.

$$\frac{81}{648}-\frac{16}{648}$$

Since \frac{81}{648} and \frac{16}{648} have the same denominator, subtract them by subtracting their numerators.

$$\frac{81-16}{648}$$

Subtract 16 from 81 to get 65.

$$\frac{65}{648}$$

Factor

$$\frac{5 \cdot 13}{2 ^ {3} \cdot 3 ^ {4}} = 0.10030864197530864$$