Solve 0,7+3/5-2,3+3/8

$$0,7 + \frac { 3 } { 5 } - 2,3 + \frac { 3 } { 8 }$$

Evaluate

$$-0,625$$

Solution Steps

Convert decimal number 0,7 to fraction \frac{7}{10}.

$$\frac{7}{10}+\frac{3}{5}-2,3+\frac{3}{8}$$

Least common multiple of 10 and 5 is 10. Convert \frac{7}{10} and \frac{3}{5} to fractions with denominator 10.

$$\frac{7}{10}+\frac{6}{10}-2,3+\frac{3}{8}$$

Since \frac{7}{10} and \frac{6}{10} have the same denominator, add them by adding their numerators.

$$\frac{7+6}{10}-2,3+\frac{3}{8}$$

Add 7 and 6 to get 13.

$$\frac{13}{10}-2,3+\frac{3}{8}$$

Convert decimal number 2,3 to fraction \frac{23}{10}.

$$\frac{13}{10}-\frac{23}{10}+\frac{3}{8}$$

Since \frac{13}{10} and \frac{23}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-23}{10}+\frac{3}{8}$$

Subtract 23 from 13 to get -10.

$$\frac{-10}{10}+\frac{3}{8}$$

Divide -10 by 10 to get -1.

$$-1+\frac{3}{8}$$

Convert -1 to fraction -\frac{8}{8}.

$$-\frac{8}{8}+\frac{3}{8}$$

Since -\frac{8}{8} and \frac{3}{8} have the same denominator, add them by adding their numerators.

$$\frac{-8+3}{8}$$

Add -8 and 3 to get -5.

$$-\frac{5}{8}$$

Factor

$$-0,625$$