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TSI Math: Simplifying Fractions Using the Least Common Denominator 7 Views
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Description:
What is the simplified form of the expression ?
- Test Prep / TSI
- TSI / TSI Math
- TSI / TSI Mathematics
- Intermediate Algebra and Functions / Rational and Exponential Expressions, Equations, and Functions
- Intermediate Algebra and Functions / Rational and Exponential Expressions, Equations, and Functions
- TSI Mathematics / Intermediate Algebra and Functions
- Test Prep / TSI
- TSI Math / Intermediate Algebra and Functions
Transcript
- 00:02
Okay sy master members next up in this ugly siri's
- 00:05
of weird problems what is the simplified form of the
- 00:08
expression Sixty over a plus b plus eh b over
- 00:11
b squared minus a squared Simplify this thing well let's
- 00:20
See we only add fractions when they have the same
Full 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
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