Solve (-2.25)-(+5/8)+(-3/4)-(-0.125)

$$(-2.25)-(+ \frac{ 5 }{ 8 } )+(- \frac{ 3 }{ 4 } )-(-0.125)$$

Evaluate

$$-3.5$$

Solution Steps

Convert decimal number -2.25 to fraction -\frac{225}{100}. Reduce the fraction -\frac{225}{100} to lowest terms by extracting and canceling out 25.

$$-\frac{9}{4}-\frac{5}{8}-\frac{3}{4}-\left(-0.125\right)$$

Least common multiple of 4 and 8 is 8. Convert -\frac{9}{4} and \frac{5}{8} to fractions with denominator 8.

$$-\frac{18}{8}-\frac{5}{8}-\frac{3}{4}-\left(-0.125\right)$$

Since -\frac{18}{8} and \frac{5}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-18-5}{8}-\frac{3}{4}-\left(-0.125\right)$$

Subtract 5 from -18 to get -23.

$$-\frac{23}{8}-\frac{3}{4}-\left(-0.125\right)$$

Least common multiple of 8 and 4 is 8. Convert -\frac{23}{8} and \frac{3}{4} to fractions with denominator 8.

$$-\frac{23}{8}-\frac{6}{8}-\left(-0.125\right)$$

Since -\frac{23}{8} and \frac{6}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-23-6}{8}-\left(-0.125\right)$$

Subtract 6 from -23 to get -29.

$$-\frac{29}{8}-\left(-0.125\right)$$

The opposite of -0.125 is 0.125.

$$-\frac{29}{8}+0.125$$

Convert decimal number 0.125 to fraction \frac{125}{1000}. Reduce the fraction \frac{125}{1000} to lowest terms by extracting and canceling out 125.

$$-\frac{29}{8}+\frac{1}{8}$$

Since -\frac{29}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{-29+1}{8}$$

Add -29 and 1 to get -28.

$$\frac{-28}{8}$$

Reduce the fraction \frac{-28}{8} to lowest terms by extracting and canceling out 4.

$$-\frac{7}{2}$$

Factor

$$-3.5$$