To convert the decimal 0.44 into a fraction, we start by recognizing that the decimal can be expressed as a fraction over 1. Therefore, we can write 0.44 as:
0.44 = 0.44/1
Next, to eliminate the decimal, we can multiply both the numerator and the denominator by 100 (since there are two digits after the decimal point):
0.44 x 100 / 1 x 100 = 44/100
Now we have the fraction 44/100. The next step is to simplify this fraction by finding the greatest common divisor (GCD) of 44 and 100. The GCD of 44 and 100 is 4.
We simplify the fraction by dividing both the numerator and the denominator by their GCD:
44 ÷ 4 / 100 ÷ 4 = 11/25
Thus, 0.44 as a fraction in its simplest form is:
11/25