Solve (-0.25)*(-5.5)+1/4*(-3.5)-(-1/4)*2

$$( - 0.25 ) \times ( - 5.5 ) + \frac { 1 } { 4 } \times ( - 3.5 ) - ( - \frac { 1 } { 4 } ) \times 2$$

Evaluate

$$1$$

Solution Steps

Multiply -0.25 and -5.5 to get 1.375.

$$1.375+\frac{1}{4}\left(-3.5\right)-\left(-\frac{1}{4}\times 2\right)$$

Convert decimal number -3.5 to fraction -\frac{35}{10}. Reduce the fraction -\frac{35}{10} to lowest terms by extracting and canceling out 5.

$$1.375+\frac{1}{4}\left(-\frac{7}{2}\right)-\left(-\frac{1}{4}\times 2\right)$$

Multiply \frac{1}{4} times -\frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$1.375+\frac{1\left(-7\right)}{4\times 2}-\left(-\frac{1}{4}\times 2\right)$$

Do the multiplications in the fraction \frac{1\left(-7\right)}{4\times 2}.

$$1.375+\frac{-7}{8}-\left(-\frac{1}{4}\times 2\right)$$

Fraction \frac{-7}{8} can be rewritten as -\frac{7}{8} by extracting the negative sign.

$$1.375-\frac{7}{8}-\left(-\frac{1}{4}\times 2\right)$$

Convert decimal number 1.375 to fraction \frac{1375}{1000}. Reduce the fraction \frac{1375}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{11}{8}-\frac{7}{8}-\left(-\frac{1}{4}\times 2\right)$$

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

$$\frac{11-7}{8}-\left(-\frac{1}{4}\times 2\right)$$

Subtract 7 from 11 to get 4.

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

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

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

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.

$$\frac{1}{2}-\left(-\frac{1}{2}\right)$$

The opposite of -\frac{1}{2} is \frac{1}{2}.

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

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

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

Add 1 and 1 to get 2.

$$\frac{2}{2}$$

Divide 2 by 2 to get 1.

$$1$$

Factor

$$1$$