Decomposing Fractions
What is one way to decompose the fraction 3/4 into a sum of two fractions?
Example: 1/4 + 2/4 OR 1/4 + 1/4 + 1/4
What is the sum of 2/7 and 3/7?
5/7
Change 5/2 into a mixed number.
2 1/2
What is the sum of 2 1/4 and 1 2/4?
3 3/4
3/8
What is the difference of 7/9 and 2/9?
5/9
17/5
3 4/8 or 3 1/2
If you have the fraction 7/10, you can decompose it as 2/10 + _____ + 1/10. What is the missing fraction?
4/10
If you eat 3/8 of a cake and your friend eats 4/8, what is the total fraction of the cake you both ate?
What is the mixed number for the improper fraction 17/4?
4 1/4
Maya had 5 2/6 feet of ribbon. She used 2 1/6 feet. How much ribbon does she have left?
3 1/6 feet
One way to decompose 5/6 is 2/6 + 3/6. What is another way to decompose 5/6 using three fractions, where two of them are unit fractions (numerator of 1)?
Example: 1/6 + 1/6 + 3/6 OR 1/6 + 2/6 + 2/6
7/12
43/8
3 5/7 + 2 3/7
6 1/7
At a pizza party, a large pizza was cut into 9 equal slices. Eli ate 8/9 of the pizza. His friend Maya said, "I bet you didn't eat just one big piece. I be you ate four different slices at different times!" If Maya is correct, what four amounts of pizza could Eli have eaten to make a total of 8/9?
Example: 1/9 + 1/9 + 1/9 + 5/9 or 2/9 + 2/9 + 2/9 + 2/9
Sarah ran 6/10 of a mile. Ben ran 3/10. How much farther did Sara run than Ben?
3/10 of a mile
First, change 2 3/4 to an improper fraction. Then, change 11/4 to a mixed number. What is the sum of those two final answers?
11/4 plus 2 3/4 = 22/4 OR 5 2/4
7 1/5 - 2 4/5
4 2/5