Is one third equivalent to one ninth?

Answer 1

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.