Solve 13/4+(-6.25)-(-27/8)-1.75

$$1 \frac { 3 } { 4 } + ( - 6.25 ) - ( - \frac { 27 } { 8 } ) - 1.75$$

Evaluate

$$-2.875$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{4+3}{4}-6.25-\left(-\frac{27}{8}\right)-1.75$$

Add 4 and 3 to get 7.

$$\frac{7}{4}-6.25-\left(-\frac{27}{8}\right)-1.75$$

Convert decimal number 6.25 to fraction \frac{625}{100}. Reduce the fraction \frac{625}{100} to lowest terms by extracting and canceling out 25.

$$\frac{7}{4}-\frac{25}{4}-\left(-\frac{27}{8}\right)-1.75$$

Since \frac{7}{4} and \frac{25}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-25}{4}-\left(-\frac{27}{8}\right)-1.75$$

Subtract 25 from 7 to get -18.

$$\frac{-18}{4}-\left(-\frac{27}{8}\right)-1.75$$

Reduce the fraction \frac{-18}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{9}{2}-\left(-\frac{27}{8}\right)-1.75$$

The opposite of -\frac{27}{8} is \frac{27}{8}.

$$-\frac{9}{2}+\frac{27}{8}-1.75$$

Least common multiple of 2 and 8 is 8. Convert -\frac{9}{2} and \frac{27}{8} to fractions with denominator 8.

$$-\frac{36}{8}+\frac{27}{8}-1.75$$

Since -\frac{36}{8} and \frac{27}{8} have the same denominator, add them by adding their numerators.

$$\frac{-36+27}{8}-1.75$$

Add -36 and 27 to get -9.

$$-\frac{9}{8}-1.75$$

Convert decimal number 1.75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.

$$-\frac{9}{8}-\frac{7}{4}$$

Least common multiple of 8 and 4 is 8. Convert -\frac{9}{8} and \frac{7}{4} to fractions with denominator 8.

$$-\frac{9}{8}-\frac{14}{8}$$

Since -\frac{9}{8} and \frac{14}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-9-14}{8}$$

Subtract 14 from -9 to get -23.

$$-\frac{23}{8}$$

Factor

$$-2.875$$