9514 1404 393
Answer:
10/33
Step-by-step explanation:
The usual approach (if your calculator won't do this for you) is to convert the mixed number to an improper fraction, then perform the division. That division can be accomplished by multiplying the numerator by the inverse of the denominator.
1 7/15 = (15+7)/15 = 22/15
Then ...
(4/9)/(22/15) = (4/9)(15/22) = (2·2·3·5)/(3·3·2·11) = (2·5)/(3·11) = 10/33
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Alternate solution
Both fractions can be given the same denominator:
4/9 = 20/45
1 7/15 = 22/15 = 66/45
Now, the division is ...
(20/45)/(66/45) = 20/66 = 10/33
