Solve 3.75-(+1.5)-(-41/4)-(+81/2)

$$3.75 - ( + 1.5 ) - ( - 4 \frac { 1 } { 4 } ) - ( + 8 \frac { 1 } { 2 } )$$

Evaluate

$$-2$$

Solution Steps

Subtract 1.5 from 3.75 to get 2.25.

$$2.25-\left(-\frac{4\times 4+1}{4}\right)-\frac{8\times 2+1}{2}$$

Multiply 4 and 4 to get 16.

$$2.25-\left(-\frac{16+1}{4}\right)-\frac{8\times 2+1}{2}$$

Add 16 and 1 to get 17.

$$2.25-\left(-\frac{17}{4}\right)-\frac{8\times 2+1}{2}$$

The opposite of -\frac{17}{4} is \frac{17}{4}.

$$2.25+\frac{17}{4}-\frac{8\times 2+1}{2}$$

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.

$$\frac{9}{4}+\frac{17}{4}-\frac{8\times 2+1}{2}$$

Since \frac{9}{4} and \frac{17}{4} have the same denominator, add them by adding their numerators.

$$\frac{9+17}{4}-\frac{8\times 2+1}{2}$$

Add 9 and 17 to get 26.

$$\frac{26}{4}-\frac{8\times 2+1}{2}$$

Reduce the fraction \frac{26}{4} to lowest terms by extracting and canceling out 2.

$$\frac{13}{2}-\frac{8\times 2+1}{2}$$

Multiply 8 and 2 to get 16.

$$\frac{13}{2}-\frac{16+1}{2}$$

Add 16 and 1 to get 17.

$$\frac{13}{2}-\frac{17}{2}$$

Since \frac{13}{2} and \frac{17}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-17}{2}$$

Subtract 17 from 13 to get -4.

$$\frac{-4}{2}$$

Divide -4 by 2 to get -2.

$$-2$$

Factor

$$-2$$