Solve (-1/4)*(-51/2)+(-0.25)*3.5+(-1/4)*2

$$( - \frac { 1 } { 4 } ) \times ( - 5 \frac { 1 } { 2 } ) + ( - 0.25 ) \times 3.5 + ( - \frac { 1 } { 4 } ) \times 2$$

Evaluate

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Solution Steps

Multiply 5 and 2 to get 10.

$$-\frac{1}{4}\left(-\frac{10+1}{2}\right)-0.25\times 3.5-\frac{1}{4}\times 2$$

Add 10 and 1 to get 11.

$$-\frac{1}{4}\left(-\frac{11}{2}\right)-0.25\times 3.5-\frac{1}{4}\times 2$$

Multiply -\frac{1}{4} times -\frac{11}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-\left(-11\right)}{4\times 2}-0.25\times 3.5-\frac{1}{4}\times 2$$

Do the multiplications in the fraction \frac{-\left(-11\right)}{4\times 2}.

$$\frac{11}{8}-0.25\times 3.5-\frac{1}{4}\times 2$$

Multiply -0.25 and 3.5 to get -0.875.

$$\frac{11}{8}-0.875-\frac{1}{4}\times 2$$

Convert decimal number 0.875 to fraction \frac{875}{1000}. Reduce the fraction \frac{875}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{11}{8}-\frac{7}{8}-\frac{1}{4}\times 2$$

Since \frac{11}{8} and \frac{7}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-7}{8}-\frac{1}{4}\times 2$$

Subtract 7 from 11 to get 4.

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

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

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

Express -\frac{1}{4}\times 2 as a single fraction.

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

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

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

Subtract \frac{1}{2} from \frac{1}{2} to get 0.

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Factor

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