Equivalent Fractions
Compare and Order Fractions
Mixed Numbers and Improper Fractions
Add and Subtract Mixed Numbers
Multiply Fractions
100
How can I check if a fraction is in simplest form? Explain what I must do and please give me an example.
I have to list the factors of the numerator and denominator and find the biggest factor they share (GCF)
100
How can I compare two fractions that have different denominators (or different sized pieces). Please give me an example.
I can list the multiples of the two denominators and find the smallest multiple they both share (LCM).
3/4 and 5/6
4 and 6 share a multiple of 12.
3/4 = 9/12
5/6 = 10/12
5/6 is bigger than 3/4
100
Wanda rode her bike 21/10 miles. Write a mixed number to show how far Wanda rode her bike.
10 goes into 21 two times (10 x 2 = 20). And there is 1 left over (1/10).
2 and 1/10 mile
100
Explain in words how you add or subtract mixed numbers.
First you add or subtract the fractions
Then you add or subtract the whole numbers.
Finally, you might have to change improper fractions to mixed numbers or simplify fractions.
100
Carrie spends 1 and 1/4 hours practicing the piano 3 times a week. How much time does Carrie spend practicing the piano in one week?
1 and 1/4 times 3
(1 x 3 = 3)
(1/4 x 3 = 3/4)
3 + 3/4 = 3 and 3/4
200
Joey divides a small garden into 20 equal sections. He plants tulips in 16 of the sections. Which fraction is equivalent to the part of the garden planted with tulips?
4/5 1/2
3/4 2/5
16/20 is equivalent to 4/5. 16 and 20 both share a factor of 4 so they both can be divided by 4.
200
Bill used 3/8 cup of raisins and 2/3 cup of banana chips to make a snack. Use a symbol (<,>,=) to compare the fractions.
3/8 < 2/3
9/24 < 16/24
200
llene is making smoothies. The recipe calls for 1 and 1/4 cup of strawberries. What is this amount written as a fraction greater than one?
1 and 1/4 is the same as 5/4
200
Kate has two lengths of ribbon. The pink ribbon is 4 and 6/12 feet long, and the purple ribbon is 2 and 4/12 feet long. How much ribbon does Kate have in all? Simplify if possible
10 and 10/12 or 10 and 5/6
200
Kim had 120 cards in a box. She gave 6/10 of the cards to Maddy. How many cards did Kim have left in the box?
6/10 of the 120 cards
6/10 x 120 = 720/10 or 72 cards
120 - 72 = 48 cards are left
300
Ann uses three 1/4 size strips to model 3/4. She wants to use 1/8 size strips to model an equivalent fraction. How many 1/8 size strips will she need?
She will need 6 1/8 strips. 6/8 is equivalent to 3/4.
300
In a parade, 2/6 of the floats have musicians on them. In the same parade, 4/12 of the floats have animals on them. Are there more floats with musicians or more floats with animals?
2/6 = 4/12
4/12 = 4/12
There is an equal number of floats with musicians and animals
300
Lee's vacation is in 3 and 4/7 weeks. Which shows the number that shows the number of weeks until Lee's vacation written as a fraction greater than one?
34/7 14/7
25/7 24/7
25/7 is the same as 3 and 4/7
300
Max used 3 and 7/8 pounds of yellow potatoes and 2 and 5/8 pounds of sweet potatoes to make a potato salad. How many more pounds of yellow potatoes than sweet potatoes did Max use? Simplify if possible.
1 and 2/8 or 1 and 1/4
300
Bo recorded a basketball game that lasted 2 and 1/2 hours. Bo watched the game 3 times last week. How many hours did Bo spend watching the game?
2 and 1/2 times 3 = 7 and 1/2
(2 x 3 = 6)
(1/2 x 3 = 3/2) 3/2 = 1 and 1/2
6 + 1 and 1/2 = 7 and 1/2
400
Four Friends shared a pizza. The table shows how much of the pizza each person ate. Which friends ate the same amount of pizza?
Colin = 3/9 Vicki = 3/12
Stephanie = 2/8 Wesley = 1/6
Stephanie and Vicki. They both ate 1/4 of the pizza.
400
Jeff is making the muffins. He combines 1/6 cup milk, 1/8 cup raisins, and 1/3 cup butter. Which list shows the amounts of ingredients in order from greatest to least?
1/3, 1/6, 1/8
8/24, 4/24, 3/24
400
Derek and his friends shared two small pizzas. Derek ate 7/6 of the pizzas. Write a mixed number that shows how much pizza Derek ate?
Derek ate 1 and 1/6 of the two pizzas.
400
Gina has 5 and 2/6 feet of silver ribbon and 2 and 4/6 feet of gold ribbon. How much more silver ribbon does Gina have than gold ribbon? Simplify or reduce is possible.
2 and 4/6
2 and 2/3
400
Ben had 2 boxes of blocks.
• Each box had 100 blocks.
• He built a tower with 1/5 of the blocks out of each of the boxes.
How many blocks did Ben use to build the tower?
2 boxes = 200 blocks
1/5 of 200 blocks
1/5 x 200 = 200/5 or 40
500
Lizzie walked 8/10 mile and Billy walked 12/15 mile. Lizzie says they walked the same distance. Do you agree with Lizzie? Explain your answer.
Yes I do. When you simplify both fractions they are the same. They both are equivalent to 4/5.
500
Three friends share a loaf of garlic bread. Ray ate 2/6 of the loaf, Jay ate 5/12 of the loaf, and Kay ate 1/4 of the loaf. List the names in order from least to greatest.
Kay, Ray, and Jay
3/12, 4/12, 5/12
500
Jamaal can't remember how to rename 17/5 as a mixed number. Explain step by step to help Jamaal remember what to do.
You see how many times 5 can go into 17 (3 whole times) 5x3=15
Then you see how much is left over (17-15=2)
17/5 = 3 and 2/5
500
A roll of wallpaper has 9 yards. Darcy uses 7 and 3/4 yards to paper one wall of the bedroom. Explain how she can figure out the length of wallpaper that is left.
9 yards can also be written as 8 and 4/4 yards.
Then when you subtract 7 and 3/4 you are left with 1 and 1/4 yards.
500
Yasuo always puts 1 and 1/2 teaspoons of honey in his tea. Yesterday Yasuo drank 5 cups of tea. How much honey did he use in all?
1 and 1/2 x 5 = 7 and 1/2
(1 x 5 = 5)
1/2 x 5 = 5/2) 5/2 = 2 and 1/2
5 + 2 and 1/2 = 7 and 1/2