Unit Fractions
Write the fraction as a multiple of a unit fraction:
2/3
2/3 = 1/3 x 2
Calculate the distance Margo rides her bike if she rides 7/8 mile each day for 8 days.
8 x 7/8 = 56/8 OR 7 miles.
She rides for 7 miles.
2 x 2 2/4
4 2/4
2 hours 32 minutes + 3 hours 40 minutes = ?
5 hours, 72 minutes, which must be regrouped as:
6 hours 12 minutes
On a vocabulary list, 5/10 of the words are nouns and 6/12 of the words are verbs. Which statement correctly compares the fraction of words that are nouns to the fraction of words that are verbs?
A. Since 5 > 6, 5/10 < 6/12 So there are fewer nouns on the list.
B. Since 1/10 > 1/12, then 5/10 > 6/12. So there are more nouns on the list.
C. Since 5/10 = 7/12 and 7 > 6, then 5/10 > 6/12. So there are more nouns on the list.
D. Since 5/10 = 1/2 and 6/12 = 1/2, then 5/10 = 6/12. So there are equal nouns and verbs on the list.
D. Since 5/10 = 1/2 and 6/12 = 1/2, then 5/10 = 6/12. So there are equal nouns and verbs on the list.
Write the fraction as a multiple of a unit fraction:
8/8
8/8 = 1/8 x 8
Wendy sliced a loaf of bread into 12 equal slices. She uses 4 of the slices to make sandwiches. What fraction of the loaf of bread was left?
8/12 of the loaf was left.
2 x 1 1/2
3
How many minutes are in 6 1/4 hours?
375 minutes.
Mikalya rode her bike on 4 days last week. She rode her bike a total of 2 2/3 miles. Which equation shows how many miles Mikalya could have ridden her bike each day?
A. 1/3 + 1/3 + 1 + 1 = 2 2/3
B. 2/3 + 2/3 + 1 + 1 = 2 2/3
C. 1/3 + 1/3 + 2/3 + 1 = 2 2/3
D. 2/3 + 2/3 + 2/3 + 1 = 2 2/3
A. 1/3 + 1/3 + 1 + 1 = 2 2/3
Mark is slicing a tomato for 4 members of his family. Each person will get 1/6 of the tomato. What fraction of the tomato will Mark slice?
Mark will slice 4/6 of the tomato.
Calculate the distance Derek rows his boat if he rows 5/6 mile each day for 11 days.
11 x 5/6 = 55/6 OR 9 1/6 miles
He rows 9 1/6 miles.
9 x 3 5/8
32 5/8
What is 8 x 1/4 hour?
2 hours.
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.
A. 2
B. 6
C. 12
D. 20
B. 6
Kevin is baking cookies. Each batch of cookies uses 1/8 pound of butter. Kevin has 11/8 pounds of butter. How many batches of cookies can Kevin make? Show your work.
He can make 11 batches.
11/8 = 1/8 x 11
Audrey uses 5/8 cup of fruit in each smoothie she makes. She makes 6 smoothies to share with her friends. How many cups of fruit does Audrey use?
6 x 5/8 = 30/8 OR 3 6/8 cups.
She uses 3 6/8 cups of fruit.
Tamika swims 2 7/10 kilometers a day, 4 days a week. How far does she swim each week?
10 8/10
Glen and Krys work at a shoe store. Glen worked 5 hours 8 minutes. Krys worked 3 hours 12 minutes. How much longer did Glen work than Krys?
Glen worked 1 hour 56 minutes longer than Krys.
Gertrude practices the piano on Monday from a quarter past 3:00 until 5 minutes before 4:00. On Tuesday, she practices the piano from 5 minutes after 3:00 until a quarter to 4:00. How many minutes does Gertrude practice the piano in all?
A. 80
B. 90
C. 110
D. 120
A. 80
Students are painting a mural. So far, the mural is painted 1/4 blue, 2/8 red, and 3/12 green. In total, how much of the mural has been painted?
Since 2/8 = 1/4 and 3/12 = 1/4, I can use the equation 1/4 x 3 to solve.
3/4 of the mural has been painted.
Gabe is making 5 capes. He uses 2/3 yard of fabric for each cape he makes. What is the total amount of fabric Gabe needs?
He needs 3 1/3 yards.
Mary has 3 packages of hamburger that weigh 1 3/4 pounds each. What is the total weight of the hamburger?
5 1/4
Henry’s first flight lasts 1 hour 12 minutes. The second flight lasts 2 hours 41 minutes. How much time did Henry spend on the flights?
Henry spent 3 hours 53 minutes on the flights.
A store sold 6 sandwiches. Each sandwich contained between 1/3 and 1/2 pound of meat. How much meat did the 6 sandwiches contain?
A. between 2 and 3 pounds.
B. between 3 and 4 pounds.
C. between 5 and 6 pounds.
D. between 6 and 7 pounds
A. between 2 and 3 pounds.