Solve 4,5-2/7+2,17

$$4,5 - \frac { 2 } { 7 } + 2,17$$

Evaluate

$$\frac{4469}{700}\approx 6,384285714$$

Solution Steps

Convert decimal number 4,5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$\frac{9}{2}-\frac{2}{7}+2,17$$

Least common multiple of 2 and 7 is 14. Convert \frac{9}{2} and \frac{2}{7} to fractions with denominator 14.

$$\frac{63}{14}-\frac{4}{14}+2,17$$

Since \frac{63}{14} and \frac{4}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{63-4}{14}+2,17$$

Subtract 4 from 63 to get 59.

$$\frac{59}{14}+2,17$$

Convert decimal number 2,17 to fraction \frac{217}{100}.

$$\frac{59}{14}+\frac{217}{100}$$

Least common multiple of 14 and 100 is 700. Convert \frac{59}{14} and \frac{217}{100} to fractions with denominator 700.

$$\frac{2950}{700}+\frac{1519}{700}$$

Since \frac{2950}{700} and \frac{1519}{700} have the same denominator, add them by adding their numerators.

$$\frac{2950+1519}{700}$$

Add 2950 and 1519 to get 4469.

$$\frac{4469}{700}$$

Factor

$$\frac{41 \cdot 109}{7 \cdot 2 ^ {2} \cdot 5 ^ {2}} = 6\frac{269}{700} = 6.384285714285714$$