Question 29060
Write as a fraction: 3.444...

First, write it as a mixed number by changing the decimal part to a fraction.
Here's how you do that:

Change 0.444... to a fraction.
Let n = 0.444...  Multiply both sides by 10
10n = 4.444... Now subtract n from 10n
10-n = 4.444... - 0.444... = 4, so:
10n-n = 9n = 4 Divide both sides by 9
9n/9 = 4/9
n = 4/9 But n = 0.444..., so
0.444... = 4/9

The mixed number is: 3 4/9  Now if you want this as an improper fraction, then:

3 4/9 = 31/9 Check this answer on your calculator.