Solve 5-73/5+(-5,1)+|-2,9|=

$$5 - 7 \frac { 3 } { 5 } + ( - 5,1 ) + | - 2,9 | =$$

Evaluate

$$-4,8$$

Solution Steps

Multiply 7 and 5 to get 35.

$$5-\frac{35+3}{5}-5,1+|-2,9|$$

Add 35 and 3 to get 38.

$$5-\frac{38}{5}-5,1+|-2,9|$$

Convert 5 to fraction \frac{25}{5}.

$$\frac{25}{5}-\frac{38}{5}-5,1+|-2,9|$$

Since \frac{25}{5} and \frac{38}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-38}{5}-5,1+|-2,9|$$

Subtract 38 from 25 to get -13.

$$-\frac{13}{5}-5,1+|-2,9|$$

Convert decimal number 5,1 to fraction \frac{51}{10}.

$$-\frac{13}{5}-\frac{51}{10}+|-2,9|$$

Least common multiple of 5 and 10 is 10. Convert -\frac{13}{5} and \frac{51}{10} to fractions with denominator 10.

$$-\frac{26}{10}-\frac{51}{10}+|-2,9|$$

Since -\frac{26}{10} and \frac{51}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-26-51}{10}+|-2,9|$$

Subtract 51 from -26 to get -77.

$$-\frac{77}{10}+|-2,9|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -2,9 is 2,9.

$$-\frac{77}{10}+2,9$$

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

$$-\frac{77}{10}+\frac{29}{10}$$

Since -\frac{77}{10} and \frac{29}{10} have the same denominator, add them by adding their numerators.

$$\frac{-77+29}{10}$$

Add -77 and 29 to get -48.

$$\frac{-48}{10}$$

Reduce the fraction \frac{-48}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{24}{5}$$

Factor

$$-4,8$$