
Add and Subtract Fractions with Unlike Denominators
Presentation
•
Mathematics
•
4th - 5th Grade
•
Practice Problem
•
Medium
+5
Standards-aligned
Susan Nunn
Used 786+ times
FREE Resource
9 Slides • 9 Questions
1
Add and Subtract Fractions with Unlike Denominators
2
Anthony rode his electric scooter 1/2 mile from his house to the park. Later he rode 1/3 mile from the park to baseball practice. How far did Anthony ride?
Which operation are we going to do and how do you know?
3
Multiple Choice
The first step when adding or subtracting fractions is to ...
Add the numerators
Make sure the numerators are the same
Make sure the denominators are the same
Add the denominators together
4
Step 1 Since the denominators for 1/2 and 1/3 are not the same. change the fractions to equivalent fractions with a common, or like, denominator.
Which means finding the least common multiple
5
6
7
Multiple Choice
What is the least common multiple of
21 and 311
5
6
12
8
What do we do once we find a common denominator?
*Multiply the fractions by a WHOLE fraction (like 2/2 or 4/4 or 6/6) to change them to fractions with our common denominator without changing the value or amount. (Multiplying by 1 doesn't change the amount, right?)
*Use the new fractions with the same denominator to add or subtract the numerators!
9
Step 2 Make the equivalent fractions.
Since the common multiple was 6, you will need to change both denominators to 6.
1/2 x 3/3= 3/6
10
Multiple Choice
31 = 6?
64 because 31 + 33 = 64
62 because 31 x 22 = 62
11
Step 3 Add the numerators. Simplify if necessary. The denominator stays the same.
21 = 63
31 = 62
so 63 + 62 = 65
Anthony rode his electric scooter 65 mile.
12
Multiple Choice
To make grape juice, Elizabeth added 85 cup of water to 41 cup of grape juice concentrate. How much grape juice did Elizabeth make? Before solving, what is the least common multiple?
9
16
12
8
13
Multiple Choice
To make grape juice, Elizabeth added 85 cup of water to 41 cup of grape juice concentrate. How much grape juice did Elizabeth make?
1614 because 85 x 22 = 167 and 41 x 44 = 165 so 167 + 165 = 1612
87 because 41 x 22 = 82 so 85 + 82 = 87
14
Multiple Choice
Can 87 be simplified?
Yes
No
15
Multiple Choice
What would you multiply 2/3 by the rename it with the denominator 12?
33
44
22
1212
16
What happens if we are subtracting fractions with unlike denominators?
It works the same as adding fractions with unlike denominators.
17
Multiple Choice
52 - 31
Rewrite this problem with common denominators
52 - 53
152 + 151
156 - 155
52 - 31
18
Multiple Choice
A 21 yard length of yarn is needed for a Valentine's
Day craft project. If this yarn length is cut, how much yarn will remain from a piece that measures 87 yard?163 yard
41 yard
61 yard
83 yard
Add and Subtract Fractions with Unlike Denominators
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