Solve 5.4-3-2/13

$$5.4-3- \frac{ 2 }{ 13 }$$

Evaluate

$$\frac{146}{65}\approx 2.246153846$$

Solution Steps

Subtract 3 from 5.4 to get 2.4.

$$2.4-\frac{2}{13}$$

Convert decimal number 2.4 to fraction \frac{24}{10}. Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$\frac{12}{5}-\frac{2}{13}$$

Least common multiple of 5 and 13 is 65. Convert \frac{12}{5} and \frac{2}{13} to fractions with denominator 65.

$$\frac{156}{65}-\frac{10}{65}$$

Since \frac{156}{65} and \frac{10}{65} have the same denominator, subtract them by subtracting their numerators.

$$\frac{156-10}{65}$$

Subtract 10 from 156 to get 146.

$$\frac{146}{65}$$

Factor

$$\frac{2 \cdot 73}{5 \cdot 13} = 2\frac{16}{65} = 2.246153846153846$$