Solve |(-3,7)+(-2,1)+(+5,4)+(-1/2)=

$$| ( - 3,7 ) + ( - 2,1 ) + ( + 5,4 ) + ( - \frac { 1 } { 2 } ) =$$

Evaluate

$$0,9$$

Solution Steps

Subtract 2,1 from -3,7 to get -5,8.

$$|-5,8+5,4-\frac{1}{2}|$$

Add -5,8 and 5,4 to get -0,4.

$$|-0,4-\frac{1}{2}|$$

Convert decimal number -0,4 to fraction -\frac{4}{10}. Reduce the fraction -\frac{4}{10} to lowest terms by extracting and canceling out 2.

$$|-\frac{2}{5}-\frac{1}{2}|$$

Least common multiple of 5 and 2 is 10. Convert -\frac{2}{5} and \frac{1}{2} to fractions with denominator 10.

$$|-\frac{4}{10}-\frac{5}{10}|$$

Since -\frac{4}{10} and \frac{5}{10} have the same denominator, subtract them by subtracting their numerators.

$$|\frac{-4-5}{10}|$$

Subtract 5 from -4 to get -9.

$$|-\frac{9}{10}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{9}{10} is \frac{9}{10}.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$