Vocabulary
Define fraction.
An equal part of a whole.
Compare these two fractions and explain how you know.
1/5 __ 1/6
1/5 > 1/6 because the lesser the denominator the greater the size of the parts.
Express 4/5 as the sum of unit fractions.
1/5 + 1/5 + 1/5 + 1/5 = 4/5
Name 1 fraction that is equivalent to 3/5 and show how you know.
6/10, 9/15, 12/20, ...
What is 3/8 + 4/8?
(Write as a mixed number if possible.)
7/8
Numerator is the top number of a fraction, how many equal parts are being described.
Denominator is the bottom number of a fraction, how many equal parts are in the whole.
Compare these two fractions and explain how you know.
7/8 __ 3/4
7/8 > 3/4 because 3/4 is equivalent to 6/8, which is less than 7/8. Fourths are larger than eighths, so 7/8 would be closer to one whole.
Express 3/15 as the sum of unit fractions.
1/15 + 1/15 + 1/15 = 3/15
Find 3 fractions that are equivalent to 6/12.
1/2, 2/4, 3/6, 4/8, ... , 12/24, 18/36, ...
What is 9/12 - 6/12?
(Write as a mixed number if possible.)
3/12
What is a unit fraction? Give 3 examples.
A fraction with 1 as the numerator. Represents one part of the whole.
Compare these two fractions and explain how you know.
1 2/7 __ 1 2/5
1 2/7 < 1 2/5 because when the numerators are the same, you can compare the denominators to think about which fraction's parts are greater.
Express 1 as the sum of unit fractions, if the whole contains 6 parts.
1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6 = 1
Is 1 4/5 equivalent to 10/5? Show how you know.
No because 1 4/5 is equivalent to 9/5.
What is 7/5 + 8/5?
(Write as a mixed number if possible.)
15/5 or 3
What does equivalent fraction mean? Give an example of 2 fractions that are equivalent.
Fractions that represent the same amount of a whole, take up the same amount of space.
Compare these two fractions and explain how you know.
1 3/8 __ 11/8
1 3/8 = 11/8 because when you rename 1 3/8 as an improper fraction it is 11/8 and when you rename 11/8 as a mixed number it is 1 3/8.
Express 5/8 as the product of a whole number and a unit fraction.
5 x 1/8 = 5/8
Charlie ate 4/6 of his chocolate bar while Ben ate 8/12 of his chocolate bar. Did they eat equal amounts? How do you know?
Yes because 4/6 is equivalent to 8/12
What is 5/12 + 2/12 + 4/12?
(Write as a mixed number if possible.)
11/12
What is the difference between an improper fraction and a mixed number? Give 1 example of an improper fraction and it's matching mixed number.
An improper fraction has a greater numerator than denominator and is more than one whole. A mixed number is the proper way to state how many wholes and parts a fraction has.
Sammy and Patty were each eating pizza. Sammy ate 8/10 of her pie and Patty ate 2/3 of her pie. Patty said that she ate more because she only has 1 piece leftover while Sammy has 2 pieces leftover. Is she correct? Why or why not?
Express 15/5 as the product of a whole number and a unit fraction.
15 x 1/5 = 15/5
Which of the following fractions is not equivalent to the other 3. How do you know?
5/4 10/8 16/12 50/40
16/12 because as a mixed number it is 1 4/12, which is the same as 1 1/3, not 1/4.
What is 1 - 7/9?
(Write as a mixed number if possible.)
2/9