Decomposing Fractions
Decompose the following fraction:
5/7
Ex: 4/7 + 1/7, 3/7 + 2/7, 1/7+ 1/7 + 3/7
3/7 + 2/7 =
5/7
Write this improper fraction as a mixed number:
7/4
1 3/4
Write this mixed number as an improper fraction: 1 4/9
13/9
Emmy is making citrus punch. She added 1 1/4 cups of lemon juice and 1 2/4 cups of orange juice. How much juice is in the punch? Explain how you solved it.
2 3/4 cups of juice (1 1/4 + 1 2/4 = 2 3/4)
Decompose the following fraction:
2/3
1/3 + 1/3
9/12 - 1/12 =
8/12
Write this improper fraction as a mixed number:
9/2
4 1/2
Write this mixed number as an improper fraction:
4 2/5
22/5
Kevin lives 3 5/6 miles from school. Ethan lives 1 4/6 miles from the school. How much farther does Kevin live from the school than Ethan? Prove your answer
2 1/6 (3 5/6 - 1 4/6 = 2 1/6)
Decompose the following fraction:
19/20
Ex: 18/20 + 1/20, 10/20 + 9/20, 5/20 + 10/20 + 4/20
6 5/6 - 2 3/6 =
4 2/6
Write this improper fraction as a mixed number:
12/10
1 2/10
Write this mixed number as an improper fraction:
9 3/7
66/7
Rylee drank 6/9 of a cup of chocolate milk. Blake drank 3/9 of a cup. How much more did Rylee drink?
3/9 (6/9 - 3/9 = 3/9)
Decompose the following fraction:
40/50
8 10/11 + 3 4/11 =
12 3/11
Write this improper fraction as a mixed number:
18/7
2 4/7
Write this mixed number as an improper fraction:
11 3/8
91/8
Tyler ran 4/7 of a mile on Tuesday and 5/7 of a mile on Wednesday. How far did he run on both days combined? Justify your answer.
1 3/7 of a mile (4/7 + 5/7 = 11/7 = 1 3/7)
Decompose the following fraction:
5 8/9
Ex: 3 2/9 + 2 6/9, 4 7/9 + 1 1/9
3/8 + 2/8 + 1/8 + 2/8 =
1 (8/8)
Write this improper fraction as an mixed number:
24/6
4
Write this mixed number as an improper fraction:
13 9/12
165/12
A recipe calls for 3 8/9 tablespoons of brown sugar. It then calls for 4 3/9 tablespoons of white sugar. How much sugar in total does the recipe call for? (No improper fractions!)
8 2/9 (3 8/9 + 4 3/9 = 7 11/9 = 8 2/9)