Mixed Numbers and Improper Fractions
What is a mixed number?
A whole number and a fraction. For example: 5 1/8
Compare 1/4 and 5/6. Use a visual model.
1/4 < 5/6
1/3 = _/6
2/6
5/8 - 1/8 =
4/8 = 1/2
Eight people each eat 1/6 of a pizza. How much did they eat in total?
8 x 1/6
8/6 = 4/3 = 1 1/3
What is an improper fraction?
A fraction larger than 1. For example, 18/5.
Order these fractions in order from least to greatest: 1/7, 1/10, 1/3, 1/2
1/10, 1/7, 1/3, 1/2
1/4 = _ /12
3/12
I eat 5/6 of a bowl of cereal. My sister eats 2/6 of a bowl of cereal. How much cereal have we eaten all together?
7/6 = 1 1/6
Grandma made an apple pie. Josh and his brother Joe finished 4/5 of it. Then, three friends came over and shared the leftover pie. How much of the pie did each friend eat?
1/5 / 3 = 1/15
Write 6/5 as a mixed number.
1 1/5
Compare 10/10 and 6/6.
=
3/4 = _ /16
12/16
11/12 - 1/6 =
9/12 = 3/4
I eat 1/3 pounds of meat every day. How many pounds do I eat in 1 week?
1/3 x 7 = 2 1/3
Write 2 1/6 as an improper fraction.
13/6
Compare 4/7 and 7/14.
4/7 > 7/14
Rewrite 3/4 and 1/3 with a common denominator.
9/12 and 4/12
I used 7/8 a cup of flour to make cookies. I used 1/3 a cup of flour to make a cake. How much flour have I used?
28/24 = 1 4/24 = 1 1/6
It takes 20 minutes to walk to school. I have walked 3/4 of the way to school. How many minutes have I walked?
20 x 3/4 = 15minutes
What is the top number and bottom number of a fraction called?
Numerator / Denominator
Order these fractions in order from least to greatest: 5/4, 1/2, 4/9
4/9, 1/2, 5/4
Rewrite 3/7 and 1/4 with a common denominator.
12/28 and 7/28
2/5 - 1/3 =
1/15
There is 1/4 a gallon of water. This water is poured equally into 3 water bottles. How much water is poured into each water bottle?
1/4 / 3 = 1/12