SOLUTION: 39. Divide and express as a mixed number in lowest terms. 5 5/8 DIVIDED BY 5 5/14 I DO NOT KNOW HOW TO DO THIS

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First change the mixed fractions to improper fractions:
5 div by 5

To do this multiply the denominator times the whole number and add the numerator. Place over the denominator.

For the first fraction, multiply 8 times 5 and add 5:
For the second fraction, multiply 14 times 5 and add 5:

That would be
div by

When you divide, you invert the second number and multiply:
*

Next you can divide out ANY factor of ANY numerator with ANY factor of ANY denominator. In this case you can divide out a 15 and a 2 factor from numerator and denominator. Our webmaster Ichudov has some great ways to show this, but alas, I haven't learned it yet.

This is what you end up with:
When you divide 45 by 15 you get 3.
When you divide 75 by 15 you get 5.
When you divide 14 by 2 you get 7.
When you divide 8 by 2 you get 4:
*
*

Multiply numerator times numerator and denominator times denominator:
*= or 1

R^2 at SCC