The decimal number with repeating digits can be written as:
0.344... = 31/90
How to write the number as a fraction?
Here we have the number:
0.3444....
Where the 4 keeps repeating.
First, we need to multiply this by 10, so we get:
10*0.344... = 3.444...
Now if we subtract the original number we get:
10*0.344... - 0.344... = 3.444... - 0.344...
9*(0.344...) = 3.1
Now, isolating the original number:
0.344... = 3.1/9
Finally, we multiply and divide the fraction by 10 so we get two whole numbers:
0.344... = (10/10)*(3.1/9) = 31/90
0.344... = 31/90
If you want to learn more about fractions:
https://brainly.com/question/11562149
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