# TSI Math: Simplifying Fractions Using the Least Common Denominator

What is the simplified form of the expression ?

Intermediate Algebra and Functions | Rational and Exponential Expressions, Equations, and Functions |

Mathematics and Statistics Assessment | Rational and Exponential Expressions, Equations, and Functions |

Product Type | TSI |

TSI | Mathematics and Statistics Assessment TSI Math TSI Mathematics |

TSI Math | Intermediate Algebra and Functions |

TSI Mathematics | Intermediate Algebra and Functions |

Test Prep | TSI |

### Transcript

denominator Right Fractions with different denominators are like vinegar and

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

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

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

a difference of squares b squared minus a square there

Well it can be factored Right factor is b minus

a times b plus eh And a plus b equals

b plus eh Is a factor of b squared minus

a square Just multiply the first fraction sixty over a

plus b by being kind to say over b money

say which is one as long as b minus a

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

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

like All right Well now we add the fractions Six

b squared minus a b over b squared minus a

squared plus a bee And that gets us this thing

Six b squared minus a b plus eh b over

b squared minus squared Well the two a b terms

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

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

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