No.
One third is 1/3 and one ninth is 1/9. A ninth is much smaller, three thirds is equal to one ninth - 3/9=1/3.
Another way to look at it is like a pie. If you cut one pie into three pieces and one pie into nine and took a piece from each. The piece that you took from the pie cut into three would be much bigger, and equal to three pieces of the pie you cut into nine.
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13 ninth
It is one ninth.
One third divided by one ninth is the same as one third times nine, which is three.
negative one ninth
2/9