Addition of Fractions
1/10 + 4/ 10 =
5/10
Fill in the blank to accurately decompose 7/8
3/8 + _____ = 7/8
4/8
14/6 - 12/6 =
2/6
1 1/2 + 3 1/2 =
5 wholes
The top number in a fraction.
Numerator
7/8 + 1/8 =
8/8 -or- 1 whole
Mrs. Dunford has 11/8 of soup that needs to be separated in three bowls. What is one possible way you could decompose this fraction?
Example Answers:
1/8 + 7/8 + 3/8
6/8 + 3/8 + 9/8
2/8 + 2/8 + 2/8 + 2/8 + 2/8 + 1/8
24/4 - 18/4 =
6/4 -or- 1 2/4
2 3/5 + 1 3/5 =
4 1/5
What operation does the fraction bar represent?
Divide
Shira is making tacos and nachos for her family. She uses 1/5 the bag for tacos and 2/5 for nachos. How much of the bag has she used altogether?
3/5 of the bag
How can you decompose the mixed number 3 1/8?
Example Answers:
8/8 + 8/8 + 8/8 + 1/8
8/8 + 8/8 + 7/8 + 1/8 + 1/8
8/8 + 4/8 + 4/8 + 8/8 + 1/8
Mrs. Warren noticed that out of 10 students 3 were wearing brown shoes and 4 were wearing black shoes. What fraction were not wearing brown or black shoes?
3/10 were not wearing brown or black shoes.
Milla is crocheting a scarf. She has competed 2 and 7/12 feet so far. She needs another 2 and 11/12 feet more. Write an equation to show how you would find the total length of the completed scarf.
2 7/12 + 2 11/12 =
Fractions that equal the same amount but are written differently, such as 5/10 = 3/6 = 1/2
Equivalent Fractions
3/8 + 2/8 + 32/8 = (mixed number answer)
4 and 5/8
Josephine ate 1/5 bag of popcorn and shares the rest with Taylinn. What is one possible way she can share the remaining popcorn.
Example Answers:
Josephine 1/5 Taylinn 3/5
Josephine 2/5 Taylinn 2/5
Josephine 3/5 Taylinn 1/5
Which of the following does not have a difference of 2/3??
A. 7/3 - 3/3
B. 4/3 - 2/3
C. 3/3 - 1/3
A.
4 1/8 - 1 4/8 =
2 5/8
Fractions that are used in estimating addition or subtraction of fractions.
Benchmark Fractions
How can you add 3/10 and 2/5? Use math or words to explain.
2/5 = 4/10 so I could add 4/10 + 3/10 and get 7/10
Gavin said the sum of 1/10 + 7/10 + 4/10 is the same as 5/10 + 5/10 + 2/10, is he correct. Prove it with a written explanation!
Yes, he is correct because in both case the numerators add up to 12 and the denominator stays the same.
Jonah's iPad is fully charged. She uses 1/12 of the charge playing games, 5/12 of the charge reading, and 3/12 completing her Math Path. What fractions of the charge is left on her iPad?
3/12
6 - 2 4/5 =
3 1/5
The process of regrouping (breaking into parts).
Decomposing