To simplify this division expression, we will multiply the dividend (2 2/3) by the reciprocal of the divisor (8/9).
The reciprocal of 8/9 is 9/8.
So, the expression becomes:
(2 2/3) * (9/8)
To multiply mixed numbers, we first need to convert them into improper fractions.
2 2/3 is equal to (2 * 3 + 2) / 3 = 8/3
Now, the expression becomes:
(8/3) * (9/8)
Next, we can cancel out the common factors between the numerators and denominators.
The 8 in the numerator of the first fraction will cancel out with the 8 in the denominator of the second fraction.
The 3 in the numerator of the first fraction will cancel out with the 3 in the denominator of the second fraction.
This leaves us with:
(1) * (9/1) = 9
Therefore, 2 2/3 ÷ 8/9 simplifies to 9.
Therefore, the simplified expression is 9.
Simplify 2 2/3 ÷ 8/9
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