1 4/33
Since 1.121212... is a composite repeating number then we can convert this into a fraction
1) 1.121212....
Underlining the repeating part :
1.121212....
So we can count two different digits 1 and 2, so we can write it as a fraction, placing on the denominator 99 for we have two different numbers, and then subtract 112 -1 on the numerator:
[tex]1.121212\text{ =}\frac{111}{99}=\frac{37}{33}[/tex]
2) Transforming into a mixed number
Since the question asks us to convert it to Mixed number, then we have to keep the denominator, 33,
For the numerator, we pick the 37 and divide it by 33 and place the quotient
37 : 33 = Quotient 1 Remainder : 4
Place the Quotient 1 beside a fraction with the remainder as the new numerator like this:
[tex]\frac{37}{33}\text{ = 1}\frac{4}{33}[/tex]
