Solve 13.64-1/3=

$$13.64- \frac{ 1 }{ 3 } =$$

Evaluate

$$\frac{998}{75}\approx 13.306666667$$

Solution Steps

Convert decimal number 13.64 to fraction \frac{1364}{100}. Reduce the fraction \frac{1364}{100} to lowest terms by extracting and canceling out 4.

$$\frac{341}{25}-\frac{1}{3}$$

Least common multiple of 25 and 3 is 75. Convert \frac{341}{25} and \frac{1}{3} to fractions with denominator 75.

$$\frac{1023}{75}-\frac{25}{75}$$

Since \frac{1023}{75} and \frac{25}{75} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1023-25}{75}$$

Subtract 25 from 1023 to get 998.

$$\frac{998}{75}$$

Factor

$$\frac{2 \cdot 499}{3 \cdot 5 ^ {2}} = 13\frac{23}{75} = 13.306666666666667$$