GRADE 4 - FRACTIONS HARDER
1.The rectangle below has length 1. What fraction does the shaded part represent?
The rectangle below has the same length as the rectangle above. What fraction does the shaded part represent?
Use the pictures to explain why the two fractions represented above are equivalent
Find a fractional and pictorial representation for each of the following:
Compare Fractions and list if each fraction is (> , =, or <)
Make sure you explain how you figured it out (Draw Pictures!)
2. 2/5 1/3
3. 6/5 7/5
4. 4/8 1/2
5. Complete these sentences
(i) If you make the numerator bigger then the fraction gets ______
(ii) If you make the denominator bigger than the fraction gets ______
(iii) If you multiply the denominator and numerator by the same number, then the fraction is ______
6. Draw a number line or an area model to explain how ¾ is made up of 3 one –fourth parts
¾= ¼+1/4 +1/4
Do the same to show 4/5 is made up of 4 1/5th parts. Which is bigger, 4/5 or ¾?
7. Solve the following problem. Draw a picture to show how you got the answer.
¼ +2/4= Repeat for 1/5+3/5=
8. What fractions could be combined to make 5/8? What if one of these fractions is ½?
9. Make an area model and find the result to 1 2/6 + 3 1/6 =
Repeat for 3 2/6 + 1 1/6 =
Repeat for 1 4/12 + 3 2/12 =
10. Make an area model and find the result to 3 ¾ +2 2/4 =
Repeat for 3 ¾ +2 2/4 =
Repeat for 2 ¾ +3 2/4 =
Repeat for 3 9/12 +2 6/12 =
10. Tony ate ¼ of a pizza and Melissa ate 2/4 of the same pizza. How much pizza did they eat?
Explain how you got your answer. Repeat for
Tony ate 1/5th of a pizza and Melissa ate 2/5th of the same pizza. How much pizza was left?
11. Make an area model and find the result to 5/8-3/8=
Repeat for 10/16-6/16=
Repeat for 5/8-1/2=
12. Jason ran on a path that is ¼th of a mile in length. He ran the path 3 times. What is the total distance he ran? Repeat for
Jason ran on a path that is 1/3rd of a mile in length. He ran the path 4 times. What is the total distance he ran?
13. How many fifths make up 5/4
Use the number line to explain your thinking.
How many 4ths make up 5/4?
How many 5ths make up 4/5?
How many 4ths make up 4/5?
0/4 ¼ 2/4 ¾ 4/4 5/4
14. Using the Number line, show how 3 times 2/5 can be thought of as 6 times 1/5
0 1
Repeat to show that 2 times 3/5 is what times 1/10?
15. If each person at a party will eat ¼ of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? How much can each person eat if there are 10 people at the party and the same amount of roast beef? What if there are 20 people and the same amount of beef?
16. Make an area model and find the result to 2/4 x 6 =
Repeat for 6/4 x 2 =
Repeat for 4/8 x 6 =
Repeat for 6/8 x 4 =
17. Find the value of ? for 4/10=?/100
Repeat for 3/5=?/100
Repeat for 3/20=?/100
Repeat for 5/100=?/20
Repeat for 20/100=?/5
18. Make an area model and find the result to 3/10 + 5/100=
Repeat for 5/10 + 3/100=
Repeat for 3/10 - 5/100=
Repeat for 5/10 - 3/100=
19. Write as Decimal 52/100
Repeat for 520/1000
Repeat for 3/5 (See Problem 17)
Repeat for 3/20 (See Problem 17)
20. Write as fraction 0.85
Repeat for 0.05
Repeat for 0.95
21. Compare the numbers below and indicate which one is bigger or smaller using the > and < than symbols. Draw a model to help you explain your reasoning.
.089 ______.01
.019 ______.08
.081 ______.09
.02 ______.1
.01 ______.2
.002 ______.01
.001 ______.02