TSI Math: Simplifying Fractions Using the Least Common Denominator

What is the simplified form of the expression ?

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Transcript

00:22

denominator Right Fractions with different denominators are like vinegar and

00:26

baking soda You can't add them without making a real

00:29

mess Yeah we've been there were tempted to go mad

00:31

scientist to here on you but we shouldn't Since it's

00:34

a difference of squares b squared minus a square there

00:37

Well it can be factored Right factor is b minus

00:40

a times b plus eh And a plus b equals

00:43

b plus eh Is a factor of b squared minus

00:46

a square Just multiply the first fraction sixty over a

00:49

plus b by being kind to say over b money

00:51

say which is one as long as b minus a

00:54

isn't zero to give a denominator of b squared minus

00:57

a squared See how that works That's what it looks

00:59

like All right Well now we add the fractions Six

01:02

b squared minus a b over b squared minus a

01:04

squared plus a bee And that gets us this thing

01:08

Six b squared minus a b plus eh b over

01:11

b squared minus squared Well the two a b terms

01:13

cancel out so we're left With the some six b

01:16

squared over b squared minus a squared that's it uh

01:19

give us the word problem is that it kind of 00:01:20.62 --> [endTime] funny Can't we go back to those