Solve -2,6+25/7+0,6-5/7

$$- 2,6 + 2 \frac { 5 } { 7 } + 0,6 - \frac { 5 } { 7 }$$

Evaluate

$$0$$

Solution Steps

Multiply 2 and 7 to get 14.

$$-2,6+\frac{14+5}{7}+0,6-\frac{5}{7}$$

Add 14 and 5 to get 19.

$$-2,6+\frac{19}{7}+0,6-\frac{5}{7}$$

Convert decimal number -2,6 to fraction -\frac{26}{10}. Reduce the fraction -\frac{26}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{13}{5}+\frac{19}{7}+0,6-\frac{5}{7}$$

Least common multiple of 5 and 7 is 35. Convert -\frac{13}{5} and \frac{19}{7} to fractions with denominator 35.

$$-\frac{91}{35}+\frac{95}{35}+0,6-\frac{5}{7}$$

Since -\frac{91}{35} and \frac{95}{35} have the same denominator, add them by adding their numerators.

$$\frac{-91+95}{35}+0,6-\frac{5}{7}$$

Add -91 and 95 to get 4.

$$\frac{4}{35}+0,6-\frac{5}{7}$$

Convert decimal number 0,6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{35}+\frac{3}{5}-\frac{5}{7}$$

Least common multiple of 35 and 5 is 35. Convert \frac{4}{35} and \frac{3}{5} to fractions with denominator 35.

$$\frac{4}{35}+\frac{21}{35}-\frac{5}{7}$$

Since \frac{4}{35} and \frac{21}{35} have the same denominator, add them by adding their numerators.

$$\frac{4+21}{35}-\frac{5}{7}$$

Add 4 and 21 to get 25.

$$\frac{25}{35}-\frac{5}{7}$$

Reduce the fraction \frac{25}{35} to lowest terms by extracting and canceling out 5.

$$\frac{5}{7}-\frac{5}{7}$$

Subtract \frac{5}{7} from \frac{5}{7} to get 0.

$$0$$

Factor

$$0$$