Solve 133/4+(-0.25)-(-41/4)+(-3-1/4)

$$13 \frac { 3 } { 4 } + ( - 0.25 ) - ( - 4 \frac { 1 } { 4 } ) + ( - 3 - \frac { 1 } { 4 } )$$

Evaluate

$$14.5$$

Solution Steps

Multiply 13 and 4 to get 52.

$$\frac{52+3}{4}-0.25-\left(-\frac{4\times 4+1}{4}\right)-3-\frac{1}{4}$$

Add 52 and 3 to get 55.

$$\frac{55}{4}-0.25-\left(-\frac{4\times 4+1}{4}\right)-3-\frac{1}{4}$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{55}{4}-\frac{1}{4}-\left(-\frac{4\times 4+1}{4}\right)-3-\frac{1}{4}$$

Since \frac{55}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{55-1}{4}-\left(-\frac{4\times 4+1}{4}\right)-3-\frac{1}{4}$$

Subtract 1 from 55 to get 54.

$$\frac{54}{4}-\left(-\frac{4\times 4+1}{4}\right)-3-\frac{1}{4}$$

Reduce the fraction \frac{54}{4} to lowest terms by extracting and canceling out 2.

$$\frac{27}{2}-\left(-\frac{4\times 4+1}{4}\right)-3-\frac{1}{4}$$

Multiply 4 and 4 to get 16.

$$\frac{27}{2}-\left(-\frac{16+1}{4}\right)-3-\frac{1}{4}$$

Add 16 and 1 to get 17.

$$\frac{27}{2}-\left(-\frac{17}{4}\right)-3-\frac{1}{4}$$

The opposite of -\frac{17}{4} is \frac{17}{4}.

$$\frac{27}{2}+\frac{17}{4}-3-\frac{1}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{27}{2} and \frac{17}{4} to fractions with denominator 4.

$$\frac{54}{4}+\frac{17}{4}-3-\frac{1}{4}$$

Since \frac{54}{4} and \frac{17}{4} have the same denominator, add them by adding their numerators.

$$\frac{54+17}{4}-3-\frac{1}{4}$$

Add 54 and 17 to get 71.

$$\frac{71}{4}-3-\frac{1}{4}$$

Convert 3 to fraction \frac{12}{4}.

$$\frac{71}{4}-\frac{12}{4}-\frac{1}{4}$$

Since \frac{71}{4} and \frac{12}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{71-12}{4}-\frac{1}{4}$$

Subtract 12 from 71 to get 59.

$$\frac{59}{4}-\frac{1}{4}$$

Since \frac{59}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{59-1}{4}$$

Subtract 1 from 59 to get 58.

$$\frac{58}{4}$$

Reduce the fraction \frac{58}{4} to lowest terms by extracting and canceling out 2.

$$\frac{29}{2}$$

Factor

$$\frac{29}{2} = 14\frac{1}{2} = 14.5$$