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Perform the operations and, if possible, simplify. $$2 \frac{1}{2} \div 1 \frac{5}{8}$$
$\frac{5}{13}$
Algebra
Chapter 1
An Introduction to Algebra
Section 2
Fractions
The Language of Algebra
Equations and Inequalities
Functions
Linear Functions
Quadratic Functions
Polynomials
Oregon State University
Harvey Mudd College
University of Michigan - Ann Arbor
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Mr Tutorial goes through solving problem 102 or objector, one section to practice. We're told to perform the given operations and simplify, if possible, so they given operations division and the numbers we're dealing with are mixed numbers, and you cannot divide mixed numbers in that format. So what we're gonna have to do is convert these mixed numbers into improper fractions. So what I am going to look at is the size of my fraction pieces on deal of his habits. That is the denominator of the action. So I have halves and then I have two holes that have to have. So I actually have four halves pieces, and then I have an extra has, and that means I have five halves. So I'm going to rewrite this next number yet next number in improper fraction. For now, I'm gonna do the same thing with one and 5/8 on. So I have in this case, the pieces I'm working with our eighths and I have one hole made up of eight eights. Therefore, I have 88 and my extra 5/8 gives me 13 eight. So I'm going to write my improper fraction equivalent to that mixed number right here. Now I can divide by a fraction using those rules. The rules for dividing fractions say that the dividing by a fraction is the same thing as multiplying by. It's reciprocal. So 5/2 divided by 30/8 is the same thing as 5/2 times 8/13. So if I d'oh, five times eight, I get 40 has multiplying fractions is the product of the numerator. Oh, enumerators over the product of the denominators. And then if I do two times 13 I get 26. And, um, I'm gonna prime factor that to see another both. Even so, I do. You see, two times 20 and two times 13 could factor that out, and I'm left with 20/13 and 13 is prime. So I know that I can't simplify anymore
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