Adding and Subtracting Fractions With different denominators Different

Adding and Subtracting Fractions With different denominators

$Different Denominators § It's easy to add and subtract like fractions, or fractions with$

Different Denominators § It's easy to add and subtract like fractions, or fractions with the same denominator. § You just add or subtract the numerators and keep the same denominator. For example,

$Least Common Denominator § The least common denominator (LCD) of two or more fractions$

Least Common Denominator § The least common denominator (LCD) of two or more fractions is the smallest number that can be divided evenly by each of the fractions’ § For example if you have 1 and 1 what is 3 4 the least common denominator?

Adding Fractions § You just add the numerators and keep the same denominator.

Subtracting Fractions § You just subtract the numerators and keep the same denominator.

$Least Common Denominator § We need some way to determine which fraction is larger.$

Least Common Denominator § We need some way to determine which fraction is larger. § Suppose Marcia and Melissa have some left over pizza.

Least Common Denominator § We can compare using slices of pizza. § If each person had 12 slices we can see Marcia had 1/12 more slices than Melissa.

$Steps in finding the LCD § Convert unlike fractions to equivalent like fractions. §$

Steps in finding the LCD § Convert unlike fractions to equivalent like fractions. § Find the smallest number that can be divided by both denominators. § This will be the least common denominator.

Finding the LCD § To find the smallest number each denominator can be divided into start by doing the following: § § § 4 6 The 4, 8, 12, 16 6, 12, 18, 24 of 4 and 6 is 12.

Create New Fractions § Next divide the original denominator into the new 3 denominator (12 divided 4 by 4 = 3). § Next, multiply the product by the original numerator (3 x 3 = 9). § This results in your new fraction. 9 12

$Add the new fractions 9 + 2 = 12 12 11 12$

Add the new fractions 9 + 2 = 12 12 11 12

$Practice § Find the LCD for each pair of fractions. § Remember the steps!!!$

Practice § Find the LCD for each pair of fractions. § Remember the steps!!!

Practice Answers § Here are the answers to your problems.

Online Extra Practice § Try out these examples on the following online resources: § Least common multiplier § Least common denominator § Interactive Tutorial

Games are Cool Practice! § Check out this website to try you chance at some least common denominator games. § Race against the clock to test your skills. § Visit the following site to play the game! Least common denominator game

You Did It!!! § Give yourself a pat on the back. § Keep up the good work. § Here’s a reward especially for you! APPLAUSE!!!