Solve 6,2-1/6,2

$$6,2 - \frac { 1 } { 6,2 }$$

Evaluate

$$\frac{936}{155}\approx 6,038709677$$

Solution Steps

Expand \frac{1}{6,2} by multiplying both numerator and the denominator by 10.

$$6,2-\frac{10}{62}$$

Reduce the fraction \frac{10}{62} to lowest terms by extracting and canceling out 2.

$$6,2-\frac{5}{31}$$

Convert decimal number 6,2 to fraction \frac{62}{10}. Reduce the fraction \frac{62}{10} to lowest terms by extracting and canceling out 2.

$$\frac{31}{5}-\frac{5}{31}$$

Least common multiple of 5 and 31 is 155. Convert \frac{31}{5} and \frac{5}{31} to fractions with denominator 155.

$$\frac{961}{155}-\frac{25}{155}$$

Since \frac{961}{155} and \frac{25}{155} have the same denominator, subtract them by subtracting their numerators.

$$\frac{961-25}{155}$$

Subtract 25 from 961 to get 936.

$$\frac{936}{155}$$

Factor

$$\frac{13 \cdot 2 ^ {3} \cdot 3 ^ {2}}{5 \cdot 31} = 6\frac{6}{155} = 6.038709677419355$$