Adding and Subtracting Fractions
What are the 4 steps to adding/subtracting fractions with unlike denominators?
1. Find the LCM
2. Make Equivalent Fractions
3. Add/Subtract
4. Simplify
What types of problems require you to regroup when subtracting?
If the number on the bottom is bigger than the number on top.
What is the first step to adding/subtracting mixed numbers?
Make equivalent fractions.
Before you can come up with a rule for a sequence you must ALWAYS m_______ e_______ f_______ first. (Fill in the blanks)
Make equivalent fractions
What should you ALWAYS check for before you submit a fractional answer? (The last step of every problem you do!)
Check to see if it can be simplified!
Write 2/5 and 1/3 as equivalent fractions using a common denominator.
6/15 and 5/15
If I wanted to take 3/4 away from 2 wholes, I would cross out my 2 and regroup a whole as a fraction equal to 1. What fraction would I use?
4/4
Rileighann brought 2 1/3 boxes of carrot muffins for a bake sale. Alivia brought 1 3/4 boxes of apple muffins. What is the total number of boxes of muffins Rileighann and Alivia brought to the bake sale?
4 1/2 boxes of muffins
Melanie uses a rule to write the following sequence of numbers. 1/6 , 1/2 , 5/6 , __ , 1 1/2
What is the rule?
Add 2/6 OR Add 1/3
Ms. Cyr will be sad if you don't attempt to simplify ALL of your answer on your test, true or false?
True!
Kiara bought 3/8 pound of Swiss cheese and 1/4 pound of American cheese. Write a pair of equivalent fractions that can be used to solve this problem.
3/8 and 2/8 OR 6/16 and 4/16 OR 9/24 and 6/24
2 1/3 − 1 3/4 Does this problem require regrouping to be solved?
YES!
Zoe has 9/10 meter of string. She will use 3/5 meter of string to make bracelets. She wants to determine how much of the string she will have remaining after making the bracelets. To determine how much string will be left after making the bracelets, Zoe must find 9/10 − 3/5. Is this true or false?
True!
EJ uses a rule to write the following sequence of numbers. 1/6 , 1/2 , 5/6 , __ , 1 1/2
If the rule is "add 1/3" what is the missing term in the sequence?
1 1/6
Are 3/5 and 7/10 equivalent?
NO! I'd have to multiply 5x2 to get 10, and if I multiply the numerator 3x2, I would get 6, so 7/10 is not equivalent. 6/10 would be.
Isabella exercised 4/5 hour on Monday and 5/6 hour on Tuesday. How Much time did Isabella exercise on Monday and Tuesday combined?
1 19/30 hours
Solve 1 3/4 − 7/8
7/8
Matthew practiced playing the guitar 15 1/3 hours over the past 3 weeks. He practiced for 6 1/4 hours during the first week and 4 2/3 hours during the second week. How much time did Matthew spend practicing during the third week? Use the numbers and symbols to write an equation that represents the problem.
6 1/4 + 4 2/3 + x = 15 1/3
OR
15 1/3 - 6 1/4 - 4 2/3 = x
Ashleigh drives 84 2/10 miles on Tuesday, 84 6/10 miles on Wednesday, and 85 miles on Thursday. What is the rule for the distance Ashleigh drives each day?
Add 4/10
Billy Bob babysat for 3 7/12 hours on Friday. He babysat for 2 5/6 hours on Saturday. Estimate how long Billy Bob babysat on Friday and Saturday combined.
3 1/2 + 3 = 6 1/2 hours
Colin exercised 4/5 hour on Monday and 5/6 hour on Tuesday. How much longer did Colin spend exercising on Tuesday than he spent on Monday?
1/30 hour
Ms. Cyr had 634 pizzas Grace took 15/20 of a pizza from her. How Much pizza does Ms. Cyr have left?
633 1/4
Melina picked apples for her family. She picked a total of 6 1/2 pounds. She took 2 3/4 pounds to her aunt and 1 5/8 pounds to her mother. How many pounds of apples were left to give to her grandmother? Use numbers and symbols to write an equation that represents the problem, then solve the equation.
2 1/8 pounds
Grace drives 84 2/10 miles on Tuesday, 84 6/10 miles on Wednesday, and 85 miles on Thursday. If the pattern continues, how many miles will Grace drive on Sunday?
86 2/10
1/6 + (7/8 + 5/6) = 1/6 + (5/6 + 7/8)
Which property of addition was used here?
Commutative