Decomposing
What does it mean to decompose a fraction?
To break it apart into a sum of smaller fractions
2/8 + 4/8
6/8
7/8 - 2/8
5/8
What is a mixed number?
A whole and a fractional part
What is a datapoint?
An x on a line point to mark something
Decompose 6/7 as a sum of 3 fractions
2/7 + 2/7 + 2/7
1/7 + 2/7 + 3/7
1/7 + 1/7 + 4/7
Is 2/6 + 3/6 equivalent to 4/6 + 1/6? Why or why not?
Yes because both have a sum of 5/6
12/4 - 7/4
5/4
Why can a mixed number be equivalent to an improper fraction?
They both represent a more than a whole
They both represent the same value expressed differently
How do you find the most common datapoint?
it is the number with the most datapoints - the most X's
7/12 = 2/12 + M + 4/12
What is M?
1/12
Gabrielle is trying to fit two boxes into the trunk of her car. One box is 2 1/4 feet tall and the other is 1 1/4 feet tall. Stacked on top of each other, what is the combined height of the two boxes?
3 2/4 feet
3 4/5 - 1 2/5
2 2/5
Expressed 45/7 as an improper fraction
6 3/7
How do you find the biggest datapoint?
The largest number marked with a datapoint
32/3 = 12/3 + M + 9/3
What is M?
11/3
Arianna has an indigo ribbon and an orange ribbon. The indigo ribbon is 5 3/8 inches long. The orange ribbon is 5 7/8 inches longer than the indigo ribbon. How long is the orange ribbon?
11 2/8 inches
The chef of a pizza place used 17 1/4 packages of pepperoni and 8 3/4 packages of sausage. How much more pepperoni than sausage did the chef use?
8 2/4 packages
Express 5 3/9 as an improper fraction
48/9
5 + 3/9
45/9 + 3/9
How do you find the smallest datapoint?
The smallest number that is marked with a datapoint
List 3 ways to decompose 6/10
1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10
2/10 + 2/10 + 2/10
2/10 + 3/10+ 1/10
4/10 + 1/10 + 1/10
5/10 + 1/10
3/10 + 3/10
2/10 + 4/10
Nina went to the salon and had 1 5/8 inches of hair cut off. The next day she went back and asked for another 1 7/8 inches to be cut off. How much hair did she have cut off in all?
3 4/8 inches
Last year, Meg grew 3 1/4 inches and her brother grew 1 3/4 inches. How much more did Meg grow than her brother?
1 2/4 inches
Express 78/25 as a mixed number
3 3/25
78/25 = 75/25 + 3/25
3 + 3/25
What is the difference between the smallest and biggest data point?
x x
x x x
<-----|--------|--------|--------|-------|------|----->
2/10 3/10 4/10 5/10 6/10 7/10
4/10