SOLUTION: 5/7 times 6 3/5

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Question 970318: 5/7 times 6 3/5
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
To multiply a mixed number such as 6%263%2F5 , I would convert it into an improper fraction first.
6%263%2F5=6%2B3%2F5=30%2F5%2B3%2F5=33%2F5
That calculation would be expected to be done in your head,
so you would just write
%285%2F7%29%2A%286%263%2F5%29=%285%2F7%29%2A%2833%2F5%29=5%2A33%2F%287%2A5%29
At that point, you could simplify like this
5%2A33%2F%287%2A5%29=cross%285%29%2A33%2F%287%2Across%285%29%29=highlight%2833%2F7%29 ,
or if crossing out is not allowed,
5%2A33%2F%287%2A5%29=%285%2F5%29%2A%2833%2F7%29=1%2A%2833%2F7%29=highlight%2833%2F7%29 .
If the result needs to be expressed as a mixed number,
you could transform 33%2F7 into highlight%284%265%2F7%29 .
You would be expected to do so in your head,
but the thinking is described below.
We know that 33 divided by 7 is 4 with a remainder of 5,
or in other words, 33=4%2A7%2B5=28%2B5 , and so
33%2F7=28%2F7%2B5%2F7=4%2B5%2F7=4%265%2F7