Vocabulary
Fractions that are equal in value are _______.
equivalent
Write the improper fraction as a mixed number
10/8
1 2/8 or 1 1/4
Find the sum. Write your answer as a mixed number: 5/6 + 5/6 + 5/6
15/6 = 2 3/6
Jana needs 4 1/8 yards of fence to put around an herb garden. She also wants to put 5 4/8 yards of fencing around a flower garden. How many yards of fencing does Jana need?
4 1/8 + 5 4/8 = Jana needs 9 5/8 yards of fencing
When an amount is given as a fraction and a whole number, the amount is called a __________.
mixed number
Write the mixed number as an improper fraction:
4 2/6
26/6
Find the difference. Write your answer as a mixed number:
5 7/8 - 5 1/8 =
6/8
Mona spent 4 1/4 hours doing her English and math homework over the weekend. If she spent 2 3/4 hours on her English homework, how long did she spend on her math homework? Draw a visual fraction model to support your answer.
4 1/4 - 2 3/4 = She spent 1 2/4 hours on her math homework.
Compare and contrast sum and difference
Sum means you are adding and difference means you are subtracting.
Write the mixed number as an improper fraction:
5 1/8
41/8
Find the sum. Write your answer as a mixed number:
1 9/10 + 1 8/10 + 1 2/10
3 19/10 = 4 9/10
Jake and his family go to the park. They spend 1 4/5 hours hiking and 2 1/5 hours riding bikes. If they only have 5 hours to spend at the park, do they have time to canoe for 1 3/5 hours? Explain.
1 4/5 + 2 1/5 = 4 hours + 1 3/5 = 5 3/5 hours
No, they do not have time to canoe for 1 3/5 hour because that would be more than 5 hours at the park.
What is an improper fraction? Give an example and explain in words.
5/3 A fraction that is greater than 1 whole because the numerator is greater than the denominator (total parts).
Write the improper fraction as a mixed number in simplest form:
33/6
5 3/6 = 5 1/2
Find the difference. Write your answer as a mixed number:
2 3/6 - 4/6
11/6 = 1 5/6
Fred has 3 bags of almonds. Each bag had 1 4/8 cups in it. How many cups of almonds does Fred need to buy to have a total of 6 cups of almonds? Write you answer in simplest form.
(1 4/8 + 1 4/8 + 1 4/8 = 4 4/8)
6 - 4 4/8 = Fred needs to buy 1 1/2 cups (1 4/8 cups) or 1 more bag.
This property states that it does not matter how the numbers are grouped in order to add them.
Associative Property of Addition
Write the improper fraction as a mixed number in simplest form:
51/9
5 6/9 = 5 2/3
Find the sum. Remember you need to have like denominators before you can add. Write your answer as a mixed number:
1 2/6 + 1 1/2
1 2/6 + 1 3/6 = 2 5/6
Joanna is 11 5/8 years old. Her brother is 48/8 years older than Joanna and her sister is 3 1/8 years younger than her brother. How old are Joanna's sister and brother?
Brother: 48/8= 6 years older so 11 5/8 + 6 = Her brother is 17 5/8 years old
Sister: 17 5/8 - 3 1/8 = Her sister is 14 4/8 years old.
The baseball team is selling cookie dough for a fundraiser. Gavin sells 4 1/2 cases of cookie dough, Braxton sells 3 3/4 cases of cookie dough, and Noah sells 6/8 less than Gavin. How much cookie dough do they sell altogether?
Noah: 4 4/8 - 6/8 = 3 6/8
4 4/8 (Gavin) + 3 6/8 (Braxon) + 3 6/8 (Noah) = 10 16/8 = 12
Together they sell 12 cases of cookie dough.