Solve (-3.25)+3.75+1/4+2.5+(-33/4)+(-41/2)

$$( - 3.25 ) + 3.75 + \frac { 1 } { 4 } + 2.5 + ( - 3 \frac { 3 } { 4 } ) + ( - 4 \frac { 1 } { 2 } )$$

Evaluate

$$-5$$

Solution Steps

Add -3.25 and 3.75 to get 0.5.

$$0.5+\frac{1}{4}+2.5-\frac{3\times 4+3}{4}-\frac{4\times 2+1}{2}$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}+\frac{1}{4}+2.5-\frac{3\times 4+3}{4}-\frac{4\times 2+1}{2}$$

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{1}{4} to fractions with denominator 4.

$$\frac{2}{4}+\frac{1}{4}+2.5-\frac{3\times 4+3}{4}-\frac{4\times 2+1}{2}$$

Since \frac{2}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{2+1}{4}+2.5-\frac{3\times 4+3}{4}-\frac{4\times 2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{3}{4}+2.5-\frac{3\times 4+3}{4}-\frac{4\times 2+1}{2}$$

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{3}{4}+\frac{5}{2}-\frac{3\times 4+3}{4}-\frac{4\times 2+1}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{5}{2} to fractions with denominator 4.

$$\frac{3}{4}+\frac{10}{4}-\frac{3\times 4+3}{4}-\frac{4\times 2+1}{2}$$

Since \frac{3}{4} and \frac{10}{4} have the same denominator, add them by adding their numerators.

$$\frac{3+10}{4}-\frac{3\times 4+3}{4}-\frac{4\times 2+1}{2}$$

Add 3 and 10 to get 13.

$$\frac{13}{4}-\frac{3\times 4+3}{4}-\frac{4\times 2+1}{2}$$

Multiply 3 and 4 to get 12.

$$\frac{13}{4}-\frac{12+3}{4}-\frac{4\times 2+1}{2}$$

Add 12 and 3 to get 15.

$$\frac{13}{4}-\frac{15}{4}-\frac{4\times 2+1}{2}$$

Since \frac{13}{4} and \frac{15}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-15}{4}-\frac{4\times 2+1}{2}$$

Subtract 15 from 13 to get -2.

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

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

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

Multiply 4 and 2 to get 8.

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

Add 8 and 1 to get 9.

$$-\frac{1}{2}-\frac{9}{2}$$

Since -\frac{1}{2} and \frac{9}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1-9}{2}$$

Subtract 9 from -1 to get -10.

$$\frac{-10}{2}$$

Divide -10 by 2 to get -5.

$$-5$$

Factor

$$-5$$