Solve (5,75-6,9)-(-1/4+1/10)

$$( 5,75 - 6,9 ) - ( - \frac { 1 } { 4 } + \frac { 1 } { 10 } )$$

Evaluate

$$-1$$

Solution Steps

Subtract 6,9 from 5,75 to get -1,15.

$$-1,15-\left(-\frac{1}{4}+\frac{1}{10}\right)$$

Least common multiple of 4 and 10 is 20. Convert -\frac{1}{4} and \frac{1}{10} to fractions with denominator 20.

$$-1,15-\left(-\frac{5}{20}+\frac{2}{20}\right)$$

Since -\frac{5}{20} and \frac{2}{20} have the same denominator, add them by adding their numerators.

$$-1,15-\frac{-5+2}{20}$$

Add -5 and 2 to get -3.

$$-1,15-\left(-\frac{3}{20}\right)$$

The opposite of -\frac{3}{20} is \frac{3}{20}.

$$-1,15+\frac{3}{20}$$

Convert decimal number -1,15 to fraction -\frac{115}{100}. Reduce the fraction -\frac{115}{100} to lowest terms by extracting and canceling out 5.

$$-\frac{23}{20}+\frac{3}{20}$$

Since -\frac{23}{20} and \frac{3}{20} have the same denominator, add them by adding their numerators.

$$\frac{-23+3}{20}$$

Add -23 and 3 to get -20.

$$\frac{-20}{20}$$

Divide -20 by 20 to get -1.

$$-1$$

Factor

$$-1$$