Solve {l}{(-1.5)}{+41/4}{+2.75}{+(-51/2)}

$$\left. \begin{array} { l } { ( - 1.5 ) } \\ { + 4 \frac { 1 } { 4 } } \\ { + 2.75 } \\ { + ( - 5 \frac { 1 } { 2 } ) } \end{array} \right.$$

Evaluate

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Solution Steps

Multiply 4 and 4 to get 16.

$$-1.5+\frac{16+1}{4}+2.75-\frac{5\times 2+1}{2}$$

Add 16 and 1 to get 17.

$$-1.5+\frac{17}{4}+2.75-\frac{5\times 2+1}{2}$$

Convert decimal number -1.5 to fraction -\frac{15}{10}. Reduce the fraction -\frac{15}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{3}{2}+\frac{17}{4}+2.75-\frac{5\times 2+1}{2}$$

Least common multiple of 2 and 4 is 4. Convert -\frac{3}{2} and \frac{17}{4} to fractions with denominator 4.

$$-\frac{6}{4}+\frac{17}{4}+2.75-\frac{5\times 2+1}{2}$$

Since -\frac{6}{4} and \frac{17}{4} have the same denominator, add them by adding their numerators.

$$\frac{-6+17}{4}+2.75-\frac{5\times 2+1}{2}$$

Add -6 and 17 to get 11.

$$\frac{11}{4}+2.75-\frac{5\times 2+1}{2}$$

Convert decimal number 2.75 to fraction \frac{275}{100}. Reduce the fraction \frac{275}{100} to lowest terms by extracting and canceling out 25.

$$\frac{11}{4}+\frac{11}{4}-\frac{5\times 2+1}{2}$$

Since \frac{11}{4} and \frac{11}{4} have the same denominator, add them by adding their numerators.

$$\frac{11+11}{4}-\frac{5\times 2+1}{2}$$

Add 11 and 11 to get 22.

$$\frac{22}{4}-\frac{5\times 2+1}{2}$$

Reduce the fraction \frac{22}{4} to lowest terms by extracting and canceling out 2.

$$\frac{11}{2}-\frac{5\times 2+1}{2}$$

Multiply 5 and 2 to get 10.

$$\frac{11}{2}-\frac{10+1}{2}$$

Add 10 and 1 to get 11.

$$\frac{11}{2}-\frac{11}{2}$$

Subtract \frac{11}{2} from \frac{11}{2} to get 0.

$$0$$

Factor

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