Decomposing Fractions
What is the unit fraction for 8/9?
The unit fraction is 1/9
1/4 + 2/4 = x
x = 3/4
Solve.
3 2/5 + 2 2/5 = c
c = 3 + 2 + 2/5 + 2/5
c= 5 + 4/5
c = 5 4/5
Jessica has write 12 chapters in her book for school. Each chapter should be 20 pages in length. Jessica will earn 3 bonus pages if she turns it in ahead of the due date. How many pages will she write in all?
12 * 20 + 3 = pages
240 + 3 = 243 pages
Which angle is more than 90 degrees but less than 180 degrees? Name it and show it!
Write an equation to show 3/4 as the sum of a unit fractions.
1/4 + 1/4 + 1/4 = 3/4
Jessie ate 1/8 of the pizza. Mick ate 3/8. Mac ate 2/8 of the pizza. How much pizza did the friends eat?
1/8 + 3/8 + 2/8 = 6/8 or 3/4
Solve.
4 3/8 - 2 2/8 = p
p = 2 1/8
Kitty has $12 for the book fair. She wants to purchase 3 books that cost $2 each. Meg has $20 for the book fair. She wants to buy 3 books that cost $5 each. How much will the girls books cost in all?
3 * 2 + 3 * 5 = x
6 + 15 = x
The girls books will cost $21 in all.
How many lines of symmetry does a square have? Name it and draw it!
4
Decompose the fraction 7/9.
Example answers:
1/9 + 1/9 + 1/9 + 1/9 + 1/9 + 1/9 + 1/9 = 7/9
3/9 + 4/9 = 7/9
5/6 - 3/6 = x
x = 2/6 or 1/3
Jasper won 2 1/4 games of Fortnite on Monday. On Tuesday he won 5 3/4 of his games. How many games did Jasper win in all?
2 + 5 + 1/4 + 3/4 = x
7 + 4/4 = x
7 + 1 = x
8 games Jasper won
Kitty has $12 for the book fair. She wants to purchase 3 books that cost $2 each. Meg has $20 for the book fair. She wants to buy 3 books that cost $5 each. How much change will the girls have left over altogether?
12 + 20 = 32
32 - (3 *2 + 3 *5) = x
32 - (6 + 15) = x
32 - 21 = The girls will have $11 left altogether.
Draw a right angle turning 1/4 turn clockwise.
Show for approval.
Decompose the fraction 8/10 in two different ways.
Show all of your work to get approved.
2/3 + 3/3 = x
x = 5/3 or 1 2/3
3/10 + 40/100 = ?
3/10 = 30/100
30/100 + 40/100 =
70/100 or 7/10
Jenny was so happy to win 8 bouncy balls in the school challenge. Monny won 14 bouncy balls. The teacher won three times as many as Jenny and Monny combined. How many balls did the teacher win?
8 + 14 * 3 = x
22 * 3 = x
The teacher won 66 bouncy balls.
How far would a 1/2 turn counterclockwise be?
Name in degrees and direction.
180 degree turn to the left.
Decompose the fraction 1 2/5 in two ways.
Show all of your work to get approved.
Example:
5/5 + 1/5 + 1/5 = 1 2/5
7/8 - 2/8 = 4/8 or 1/2
True or False? Prove it!
False
7/8 - 2/8 = 5/8
7-2 = 5 not 4
Josie ran 8 1/4 miles last week. Ken ran 5 3/4 miles. How many more miles did Josie run than Ken?
8 1/4 = 7 + 4/4 + 1/4 = 7 5/4
7 5/4 - 5 3/4 = ?
2 2/4 or 2 1/2 more miles
Four kids each want to buy a slime kit and a video game. Together they have $60. If the slime kit costs $8 and the video game costs $5. How much will the kids have left over to purchase candy?
60 - (8 * 4 + 5 * 4) = x
60 - (32 + 20) = x
60 - 52 = x
The kids have $8 left to buy candy.
What do the x's on a line plot represent?
The number of the item you are tracking.