Solve 13.98-1/3=

$$13.98- \frac{ 1 }{ 3 } =$$

Evaluate

$$\frac{2047}{150}\approx 13.646666667$$

Solution Steps

Convert decimal number 13.98 to fraction \frac{1398}{100}. Reduce the fraction \frac{1398}{100} to lowest terms by extracting and canceling out 2.

$$\frac{699}{50}-\frac{1}{3}$$

Least common multiple of 50 and 3 is 150. Convert \frac{699}{50} and \frac{1}{3} to fractions with denominator 150.

$$\frac{2097}{150}-\frac{50}{150}$$

Since \frac{2097}{150} and \frac{50}{150} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2097-50}{150}$$

Subtract 50 from 2097 to get 2047.

$$\frac{2047}{150}$$

Factor

$$\frac{23 \cdot 89}{2 \cdot 3 \cdot 5 ^ {2}} = 13\frac{97}{150} = 13.646666666666667$$