Solve -34/5-(-5,4-2,1)

$$- 3 \frac { 4 } { 5 } - ( - 5,4 - 2,1 )$$

Evaluate

$$3,7$$

Solution Steps

Multiply 3 and 5 to get 15.

$$-\frac{15+4}{5}-\left(-5,4-2,1\right)$$

Add 15 and 4 to get 19.

$$-\frac{19}{5}-\left(-5,4-2,1\right)$$

Subtract 2,1 from -5,4 to get -7,5.

$$-\frac{19}{5}-\left(-7,5\right)$$

The opposite of -7,5 is 7,5.

$$-\frac{19}{5}+7,5$$

Convert decimal number 7,5 to fraction \frac{75}{10}. Reduce the fraction \frac{75}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{19}{5}+\frac{15}{2}$$

Least common multiple of 5 and 2 is 10. Convert -\frac{19}{5} and \frac{15}{2} to fractions with denominator 10.

$$-\frac{38}{10}+\frac{75}{10}$$

Since -\frac{38}{10} and \frac{75}{10} have the same denominator, add them by adding their numerators.

$$\frac{-38+75}{10}$$

Add -38 and 75 to get 37.

$$\frac{37}{10}$$

Factor

$$\frac{37}{2 \cdot 5} = 3\frac{7}{10} = 3.7$$