Compare these fractions and put them on a number line.
1/6, 1/2, 2/3, 1
100
Alberto's water bottle had 5/6 of a liter of water in it. He drank 4/6 of a liter. What fraction of a liter of water is left in the bottle?
1/6
100
Toby found an orange worm and a green worm. The green worm was 3/6 of an inch long and the orange was 1/6 of an inch long. How much longer was the green worm than the orange one?
1/3 or 2/6
200
Explain how you can find equivalent fractions.
You can multiply the numerator and denominator by a copy cat number to get an equivalent fraction.
200
Nathan walked 10/10 of a mile. Sarah walked 19/20 of a mile. Who walked the greater distance?
19/20 = 19/20
10/10 x 2/2 = 20/20 (or 1)
1 mile (or 20/20) is greater than 19/20
200
Kirk had 3/4 of a carton of eggs. He used 2/4 of the carton to make breakfast. What fraction of the carton of eggs does Kirk have left?
1/4
200
In making mac and cheese, Perry used 4/6 of a cup of cheddar and 1/6 cup of parmesan. How much cheese did Perry use in all?
5/6
300
To find an equivalent fraction to 6/8, Beth divided by 2 to get 4 in the denominator. What should Beth do to find the numerator?
Divide by 2 to get 3. The answer would be 3/4. She used a copy cat number.
300
Bill and Kaya are working on the same set of homework problems. Bill has finished 7/9 of the problems and Kaya has finished 2/3 of the problems. Who has finished more of their homework problems?
7/9 = 7/9
2/3 x 3/3 = 6/9
7/9 is greater than 6/9
so Bill finished more homework than Kaya
300
Ruth made 1 fruit smoothie. She drank 1/3 of it. What fraction of the fruit smoothie is left?
2/3
300
3/4 + 2/3
1 1/6
300
Zoriah sprinted 1/2 of a lap and then took a break by jogging 1/6 of a lap. How much further did Zoriah sprint than jog?
1/3
400
How can you use multiplication and division to check your equivalent fractions?
By using a copy cat number, you can either enlarge or reduce your fraction. Multiplication and division are inverse operations.
400
Pita and Ra are painting a fence green. Josie starts at one end and paints 3/10 of the fence. Margo starts at the other end and paints 4/10 of it. What fraction of the fence do they paint?
The fence has 10 equal parts.
3/10 + 4/10 = 7/10
400
Chang has a bunch of balloons. 3/10 of the balloons are red. 2/10 of the balloons are blue. What fraction of the balloons are neither red nor blue?
5/10
400
1/3 - 2/10
2/15
400
Last week Jordy and his roommates ate 2/3 of a carton of yogurt, and this week they ate 1/2 of a carton. How much more yogurt did they eat this week compared to last week?
1/6
500
When you compare two fractions, you can change the denominators to be equivalent fractions.
Which is bigger. 2/100 or 8/10?
2/100 = 2/100
8/10 x 10/10 = 80/100
so
80/100 or 8/10 is greater than 2/100
500
4/20 + 3/5 + 3/10 =
4/20 = 4/20
3/5 x 4/4 = 12/20
3/10 x 2/2 = 6/20
4/20+ 12/20 + 6/20 + 1 2/20, or 1 1/10
500
Li bought some cloth. He used 5/8 of a yard for a school project. He has 2/8 of a yard left. How much cloth did Li buy?