Decompose Fractions
Decompose the fraction any way you choose:
7/8
Answers will vary. Answer should be an addition equation.
Add:
1/10 + 4/10
5/10 OR 1/2
2 5/6 + 5 4/6
3 3/6
Amanda ate 5/8 of her chocolate bar. Cody ate more of his chocolate bar than Amanda ate of hers. What fraction could represent the amount of Cody’s chocolate bar that he ate.
Answers will vary.
What is 609,459 in expanded form?
600,000 + 9,000 + 400 + 50 + 9
Decompose the fraction any way you choose:
2 2/4
Answers will vary. Answer should be an addition equation.
Subtract:
8/6 - 2/6
6/6 OR 1
8 7/8 - 2 4/8
6 3/8
Add: 6 2/5 + 3 4/5
10 1/5
Jordan and Sara are reading different books. Jordan’s book has 70 pages. The number of pages in Sara’s book is a factor of the number of pages in Jordan’s book. How many pages could be in Sara’s book?
A. 17
B. 35
C. 140
D. 170
B. 35
Jackie ate
1/5
of a bag of popcorn. She shared the rest with Enrique. List two different ways they could have shared the remaining popcorn.
Possible Answers: Jackie eats 1/5, Enrique eats 3/5. OR Jackie eats 2/5, Enrique eats 2/5. OR Jackie eats 3/5, Enrique eats 1/5.
Add:
2/12 + 11/12
13/12 OR 1 1/12
4 1/8 - 1 4/8
2 5/8
In a box of 24 chocolate pieces, 2/3 of the pieces have peanuts in them. How many of the chocolate pieces have peanuts in them?
Create an equivalent fraction with 24 as a denominator. The numerator will tell you the number pieces with peanuts. 16 chocolate pieces have peanuts.
Jong has 315 coins. He separates his coins into 5 different piles. Each pile has the same number of coins.
63 coins
Connie made
1 1/3
pounds of trail mix for a hike. Is there a way Connie can break up the trail mix into four bags? Explain.
Yes. She can put 1/3 pound of trail mix into each bag.
Rob’s tablet is fully charged. He uses 1/12 of the charge playing games, 5/12 of the charge reading, and 3/12 completing homework. What fraction of the charge remains on Rob’s tablet?
3/12
The bus took 4 3/5 hours to get from the station to Portland and 3 4/5 hours to get from Portland to Seattle. How long did the bus take to get from the station to Seattle?
8 2/5
Chantel made a quilt using fabric squares that measured 3/4 foot on each side. She used 6 squares to make the length of the quilt. What is the length, in feet, of Chantel’s quilt?
18/4 = 4 1/2
The average distance from Earth to the moon is 238,855 miles. What is this distance rounded to the nearest thousand?
239,000
Yvonne ran
3/8
of the race before stopping for water. She wants to stop for water one more time before finishing the race. Explain one way Yvonne could break up the rest of the race to stop for water.
Possible Answers: Run 2/8, stop, and then run 3/8. OR Run 4/8, stop, and then run 1/8.
Eddie noticed that out of 10 students, one student was wearing brown shoes, and seven students were wearing black shoes. What fraction of students were NOT wearing brown or black shoes?
2/10 of students.
A store sold 6 1/5 cases of juice on Friday and 4. 4/5 cases of juice on Saturday. How many more cases of juice did the store sell on Friday than on Saturday?
1 2/5
In each box of bananas, 2/10 of the bananas are already ripe. How many bananas are already ripe in a box of 30 bananas?
Create an equivalent fraction with 30 as a denominator. The numerator will tell you the number of bananas already ripe. 6 bananas are already ripe.
Claire packages 42 T-shirts for an order. She puts the same number of T-shirts in each package. How many T-shirts could be in each package?
A. 6
B. 8
C. 9
D. 12
A. 6
She could put 6 shirts in each package and make 7 packages.