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UNIT 11: FRACTIONS - MULTIPLYING MIXED NUMBERS

To multiply mixed numbers by any other number (fraction, whole number or another mixed number) you must first convert the mixed number to an improper fraction.
To convert a mixed number to an improper fraction, you multiply the denominator by the whole number and then add the numerator to get your new numerator. The denominator stays the same. This is just the opposite of what we did in unit 10.
EXAMPLES:
Here's how to think about this:
  • Take the first mixed number:     5 1/8th.
  • How many 8ths are there in 5?   There are 40 of them.
    (Each whole number has 8 8ths.)
  • Add 1 to get 41/8ths.
WARNING: IT DOESN'T WORK TO JUST
MULTIPLY THE WHOLE NUMBERS
AND THE FRACTIONS SEPARATELY!

Multiply the following: (I will convert the first mixed number for you!)

1)
Note: the 2 becomes 2/1 as a fraction
2)
3)
4) 5)
6) 7)
8) 9)
10) 11) This problem is hard!