Solve -12/10+(-4,3-2,1)+12/5

$$- 1 \frac { 2 } { 10 } + ( - 4,3 - 2,1 ) + \frac { 12 } { 5 }$$

Evaluate

$$-5,2$$

Solution Steps

Multiply 1 and 10 to get 10.

$$-\frac{10+2}{10}-4,3-2,1+\frac{12}{5}$$

Add 10 and 2 to get 12.

$$-\frac{12}{10}-4,3-2,1+\frac{12}{5}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{6}{5}-4,3-2,1+\frac{12}{5}$$

Convert decimal number 4,3 to fraction \frac{43}{10}.

$$-\frac{6}{5}-\frac{43}{10}-2,1+\frac{12}{5}$$

Least common multiple of 5 and 10 is 10. Convert -\frac{6}{5} and \frac{43}{10} to fractions with denominator 10.

$$-\frac{12}{10}-\frac{43}{10}-2,1+\frac{12}{5}$$

Since -\frac{12}{10} and \frac{43}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-12-43}{10}-2,1+\frac{12}{5}$$

Subtract 43 from -12 to get -55.

$$\frac{-55}{10}-2,1+\frac{12}{5}$$

Reduce the fraction \frac{-55}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{11}{2}-2,1+\frac{12}{5}$$

Convert decimal number 2,1 to fraction \frac{21}{10}.

$$-\frac{11}{2}-\frac{21}{10}+\frac{12}{5}$$

Least common multiple of 2 and 10 is 10. Convert -\frac{11}{2} and \frac{21}{10} to fractions with denominator 10.

$$-\frac{55}{10}-\frac{21}{10}+\frac{12}{5}$$

Since -\frac{55}{10} and \frac{21}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-55-21}{10}+\frac{12}{5}$$

Subtract 21 from -55 to get -76.

$$\frac{-76}{10}+\frac{12}{5}$$

Reduce the fraction \frac{-76}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{38}{5}+\frac{12}{5}$$

Since -\frac{38}{5} and \frac{12}{5} have the same denominator, add them by adding their numerators.

$$\frac{-38+12}{5}$$

Add -38 and 12 to get -26.

$$-\frac{26}{5}$$

Factor

$$-5,2$$