4/9÷1 7/15 Item 8
Divide. Write the answer in simplest form.

9514 1404 393

  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

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

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