Solve 1/2-2.2541/4

$$\frac { 1 } { 2 } - 2.254 \frac { 1 } { 4 }$$

Evaluate

$$-2.004$$

Solution Steps

Multiply 2.254 and 4 to get 9.016.

$$\frac{1}{2}-\frac{9.016+1}{4}$$

Add 9.016 and 1 to get 10.016.

$$\frac{1}{2}-\frac{10.016}{4}$$

Expand \frac{10.016}{4} by multiplying both numerator and the denominator by 1000.

$$\frac{1}{2}-\frac{10016}{4000}$$

Reduce the fraction \frac{10016}{4000} to lowest terms by extracting and canceling out 32.

$$\frac{1}{2}-\frac{313}{125}$$

Least common multiple of 2 and 125 is 250. Convert \frac{1}{2} and \frac{313}{125} to fractions with denominator 250.

$$\frac{125}{250}-\frac{626}{250}$$

Since \frac{125}{250} and \frac{626}{250} have the same denominator, subtract them by subtracting their numerators.

$$\frac{125-626}{250}$$

Subtract 626 from 125 to get -501.

$$-\frac{501}{250}$$

Factor

$$-2.004$$