Solve 5/4+1/4-3-4*(1-1/2)

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

Evaluate

$$-\frac{7}{2}=-3.5$$

Solution Steps

Since \frac{5}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{5+1}{4}-3-4\left(1-\frac{1}{2}\right)$$

Add 5 and 1 to get 6.

$$\frac{6}{4}-3-4\left(1-\frac{1}{2}\right)$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}-3-4\left(1-\frac{1}{2}\right)$$

Convert 3 to fraction \frac{6}{2}.

$$\frac{3}{2}-\frac{6}{2}-4\left(1-\frac{1}{2}\right)$$

Since \frac{3}{2} and \frac{6}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-6}{2}-4\left(1-\frac{1}{2}\right)$$

Subtract 6 from 3 to get -3.

$$-\frac{3}{2}-4\left(1-\frac{1}{2}\right)$$

Convert 1 to fraction \frac{2}{2}.

$$-\frac{3}{2}-4\left(\frac{2}{2}-\frac{1}{2}\right)$$

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

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

Subtract 1 from 2 to get 1.

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

Multiply 4 and \frac{1}{2} to get \frac{4}{2}.

$$-\frac{3}{2}-\frac{4}{2}$$

Since -\frac{3}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-3-4}{2}$$

Subtract 4 from -3 to get -7.

$$-\frac{7}{2}$$

Factor

$$-\frac{7}{2} = -3\frac{1}{2} = -3.5$$