multiply 2/3 by 1 2/9 into a mixed number

To multiply the fractions 2/3 and 1 2/9, we can first convert the mixed number 1 2/9 to an improper fraction.

To convert 1 2/9 to an improper fraction, we multiply the whole number 1 by the denominator 9 and then add the numerator 2, resulting in (1*9 + 2) / 9 = 11/9.

Now we can multiply the fractions:
(2/3) * (11/9)

To multiply fractions, we multiply the numerators together and the denominators together:
(2 * 11) / (3 * 9) = 22/27

To simplify this fraction as a mixed number, we divide the numerator (22) by the denominator (27) and express the remainder as a fraction.

22 divided by 27 is 0 with a remainder of 22. So the whole number part of the mixed number is 0, and the fractional part is 22/27.

Thus, the multiplication of 2/3 by 1 2/9 as a mixed number is 0 22/27.