Solve {l}{-21/4+3,7-2,9}{-(-32/5)}

$$\left. \begin{array} { l } { - 2 \frac { 1 } { 4 } + 3,7 - 2,9 } \\ { - ( - 3 \frac { 2 } { 5 } ) } \end{array} \right.$$

Evaluate

$$1,95$$

Solution Steps

Multiply 2 and 4 to get 8.

$$-\frac{8+1}{4}+3,7-2,9-\left(-\frac{3\times 5+2}{5}\right)$$

Add 8 and 1 to get 9.

$$-\frac{9}{4}+3,7-2,9-\left(-\frac{3\times 5+2}{5}\right)$$

Convert decimal number 3,7 to fraction \frac{37}{10}.

$$-\frac{9}{4}+\frac{37}{10}-2,9-\left(-\frac{3\times 5+2}{5}\right)$$

Least common multiple of 4 and 10 is 20. Convert -\frac{9}{4} and \frac{37}{10} to fractions with denominator 20.

$$-\frac{45}{20}+\frac{74}{20}-2,9-\left(-\frac{3\times 5+2}{5}\right)$$

Since -\frac{45}{20} and \frac{74}{20} have the same denominator, add them by adding their numerators.

$$\frac{-45+74}{20}-2,9-\left(-\frac{3\times 5+2}{5}\right)$$

Add -45 and 74 to get 29.

$$\frac{29}{20}-2,9-\left(-\frac{3\times 5+2}{5}\right)$$

Convert decimal number 2,9 to fraction \frac{29}{10}.

$$\frac{29}{20}-\frac{29}{10}-\left(-\frac{3\times 5+2}{5}\right)$$

Least common multiple of 20 and 10 is 20. Convert \frac{29}{20} and \frac{29}{10} to fractions with denominator 20.

$$\frac{29}{20}-\frac{58}{20}-\left(-\frac{3\times 5+2}{5}\right)$$

Since \frac{29}{20} and \frac{58}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{29-58}{20}-\left(-\frac{3\times 5+2}{5}\right)$$

Subtract 58 from 29 to get -29.

$$-\frac{29}{20}-\left(-\frac{3\times 5+2}{5}\right)$$

Multiply 3 and 5 to get 15.

$$-\frac{29}{20}-\left(-\frac{15+2}{5}\right)$$

Add 15 and 2 to get 17.

$$-\frac{29}{20}-\left(-\frac{17}{5}\right)$$

The opposite of -\frac{17}{5} is \frac{17}{5}.

$$-\frac{29}{20}+\frac{17}{5}$$

Least common multiple of 20 and 5 is 20. Convert -\frac{29}{20} and \frac{17}{5} to fractions with denominator 20.

$$-\frac{29}{20}+\frac{68}{20}$$

Since -\frac{29}{20} and \frac{68}{20} have the same denominator, add them by adding their numerators.

$$\frac{-29+68}{20}$$

Add -29 and 68 to get 39.

$$\frac{39}{20}$$

Factor

$$\frac{3 \cdot 13}{5 \cdot 2 ^ {2}} = 1\frac{19}{20} = 1.95$$