Basic Fractions
Adding and Subtracting Fractions
Adding with Mixed Numbers
Subtracting with Mixed Numbers
Fraction Word Problems
100
What is the definition for an equivalent fraction? Find three equivalent fractions for 1/3.
An equivalent fraction is a fraction that has the same value as another fraction. The equivalent fractions could be: 1/3 = 2/6 , 3/9, 4/12
100
Find a common denominator for each pair of fractions: 1/8 and 2/3.
We must find the lcm (Least Common Multiple) to find the common denominator. 3: {3, 6, 9, 12, 15, 18, 21, 24, 27, ...}. 8: {8, 16, 24, 32, 40, 48, 56, ...}. The lcm is 24. 1/8 = 3/24 and 2/3 = 16/24
100
Find the sum. 2 5/12 + 2/3
2 5/12 + 2/3 = 3 1/12
100
Subtract 2 5/7 - 1 1/2
2 5/7 - 1 1/2 = 17/14 = 1 3/14
100
The girl's hockey team won 6 games, lost 3 games, and tied 2 games. What fraction of the games did they win?
The girl's hockey team won 6/11 games.
200
Write each fraction as a decimal and then as a percentage. a) 4/5. b) 13/25.
a) 4/5 = 0.8 = 80%. b) 13/25 = 0.52 = 52%.
200
Find the missing denominator: 6/8 = 15/ ?
The missing denominator is: 6/8 = 15/20
200
For each pair of numbers find a common denominator. 5 2/5 + 1 7/8
5 2/5 + 1 7/8 = 7 11/40
200
My dog is 5 1/2 years old. My cat is 4 1/2 years younger than my dog. How old is my cat?
The dog is 11/2 years old. The cat is 9/2 years old. We must subtract the age of the cat from the age of the dog: 11/2 - 9/2 = 2/2 = 1. The cat is a year old.
200
Joey ate 4 1/4 oranges and Billy ate 7 1/2 oranges. They finished all of the oranges that were in the bag. How many oranges were in the bag?
4 1/4 + 7 1/2 = 11 3/4
300
Reduce the following fractions to lowest terms: a) 18/27. b) 12/18. c) 336/252.
a) 18/27 = 2/3. b) 12/18 = 2/3. c) 336/252 = 28/21.
300
Which sum is greater? 1) 2/3 + 5/6 OR 2) 3/4 + 4/5.
Lets find a common denominator and add the sums. 1) 2/3 + 5/6 = 8/6 = 1 1/3. 2) 3/4 + 4/5 = 31/20 = 1 11/20. 3/4 + 4/5 is greater!
300
Two students Melissa and John worked on a math project. Melissa worked for 3 2/3 of an hour. John worked for 2 4/5 of an hour. What was the total time spent on the project?
3 2/3 + 2 4/5 = 6 7/15
300
Heather took 3 2/3 of an hour to drive from St. John's to Gander. Sarah took 4 1/2 hours for the same distance. How much longer did Sam take to drive than Billy?
We must subtract the time taken by Sarah from the time taken by Heather. 4 1/2 - 3 2/3 = 5/6 hours
300
In my garden, I planted 1 2/3 rows of seeds. The crows came along and ate 1 1/5 rows of the seeds that I planted. What's left of my row of seeds?
1 2/3 - 1 1/5 = 7/15
400
What is the definition for the least common multiple? Find the lcm for each of the following fractions: a) 2/3 and 1/5. b) 3/4 and 5/6.
The least common multiple is the smallest number that two or more numbers will divide into evenly. a) 2/3 = 10/15 and 1/5 = 3/15. b) 3/4 = 9/12 and 5/6 = 10/12.
400
Sergio has the lead role in the school play. He still has to memorize 1/2 of his lines. Suppose Sergio memorizes 1/3 of his lines today. What fraction of his lines will he have left to memorize?
We must subtract 1/2 - 1/3 to find the fractions of lines he has left to memorize. 1/2 - 1/3 = 1/6. Sergio still has 1/6 of his lines to memorize.
400
An auto mechanic completed two jobs before lunch. The jobs took 2 2/3 h and 1 3/4 h. How many hours did it take the mechanic to complete the two job?
Job #1: 2 2/3 Job #2: 1 3/4 We must add the amount of time for both jobs: 2 2/3 + 1 3/4 = 4 5/12
400
The running time of Avatar is 2 1/6 of an hour. In the theatre Jason looks at his watch and sees that 1 1/4 of an hour has passed. How much longer will the movie run?
13/6 - 5/4 = 22/24 = 11/12
400
At a birthday party, the girls ate 3 1/2 pizzas and the boys ate 7 1/2 pizzas. How many pizzas were eaten in total at the party?
3 1/2 + 7 1/2 = 11
500
We can use models, fraction strips and number lines to add fractions. When do we use circle models? When do we use fraction strips?
Circle models are useful when the sum of the fractions is less than 1. Fraction strips and a number line is useful when the sum of the fraction is greater than 1.
500
Write 3 subtraction statements with a difference of 1/2.
1) 1 - 1/2 = 1/2. 2) 3/4 - 1/4 = 2/4 = 1/2. 3) 4/6 - 1/6 = 3/6 = 1/2.
500
Add the following: 1 1/2 + 2 4/5 + 3 3/4
1 1/2 + 2 4/5 + 3 3/4 = 8 1/20
500
The students in Ms Rowe's and Mr. Hollett's classes made sandwiches for a student council meeting. Ms. Rowe's class used 5 1/8 loaves of bread. Mr. Hollett's class used 3 2/3 loaves of bread. Calculate how many more loaves Ms. Rowe's class used.
Ms. Rowe's class= 41/8. Mr. Hollett's class = 11/3. 41/8 - 11/3 = 35/24 = 1 11/24
500
Chad made a snack by combining 1/3 a bowl of granola with 1/4 a bowl of chopped banana and 1/2 a bowl of yogurt. Did one bowl hold all of the ingredients at one time? Explain.
Let's add the fractions first: 1/3 + 1/4 + 1/2 = 13/12. This is an improper fraction so we know that the ingredients filled more than one bowl. 13/12 = 1 1/12
M
e
n
u