One of the best methods of finding the product of two mixed numbers is to first change them both to improper fractions and then multiply.
Multiply
6( 3 1/12)
First change 3 1/12 to 37/12
Then you have
(6/1) (37/12) =37/2 = 18 1/2
Estimates are a great way to check our computations.
5 3/4 X 4 2/3
First estimate 6 X 5 = 30
So our product should be a little less than 30
23/4 X 14/3 = 161/6 = 26 5/6
To divide one mixed number by another, we change the mixed numbers to improper fractions and use the method you learned in the previous lesson. Multiplying by the reciprocal
Divide 2 2/3 by 10 2/3
8/3 divided by 32/3
is really
8/3 X 3/32 = 1/4
Tuesday's lesson continued with
9/16 X n = 21/20
We remembered to "squish the coefficient next to the variable..."
9n/16 = 21/20
Then we needed to isolate the variable by multiplying both sides by the reciprocal
(16/9)(9n/16) = 21/20(16/9)
We simplified as much as possible BEFORE we started multiplying.. and got
n = 28/15
n = 1 13/15
Another case was
4/7 X n =16/21
4n/7 = 16/21
Multiply both sides by the reciprocal of 4/7
(7/4)(4n/7) = 16/21 ( 7/4)
Simplify first
n = 4/3
n = 1 1/3
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