Equivalent Fractions
Simplest Form
Compare & Order Fractions
Common Denominators
Benchmark Fractions and Problem Solving
100
True or False
#1 a. 4/16 = 1/4
b. 3/5 = 12/15
c. 5/6 = 25/30
d. 6/10 = 5/8
a. True
b. False
c. True
d. False
100
#7 In the school chorus, 4/24 of the students are 4th graders. In simplest form, what fraction of the students in the school chorus are 4th graders?
1/6
100
#2 Compare & Order the following fractions from least to greatest:
3/4, 2/3, 1/4, 1/2
1/4, 1/2, 2/3, 3/4
100
#9 Sam worked on his science fair project for 1/4 hour on Friday and 1/2 hour on Saturday. What are 4 common denominators for the fractions?
4, 8, 12, 16, 20, etc.
100
#4 Organize the fractions into the chart: 7/8, 3/16, 1/4, 3/8, 4/8, 11/16.
200
#3 Taylor cuts 1/5 sheet of construction paper for an arts and crafts project. Write 1/5 as an equivalent fraction with the following denominators: 10, 15, 25, 40.
2, 3, 5, 8
200
At Memorial Hospital, 9 of the 12 babies born on Tuesday were boys. In simplest form, what fraction of the babies born on Tuesday were boys?
3/4
200
#5 darcy bought 1/2 pound of cheese and 3/4 pound of hamburger for a barbeque. Use the numbers to compare the amounts of cheese and hamburger Darcy bought.
1/2 < 3/4
200
Carrie has a red streamer that is 3/4 yard long and a blue streamer that is 5/6 yard long. She says the streamers are the same length. Do you agree? Explain.
No, she is wrong. 9/12 = 3/4 and 5/6 = 10/12. 10/12 > 9/12.
200
Name an equivalent fraction for 5/15
1/3, 10/30
300
#8 Which pairs of fractions are equivalent? Mark all that apply.
a. 8/12 and 2/3
b. 4/5 and 12/16
c. 3/4 and 20/28
d. 7/10 and 21/30
a, d
300
Cristina uses a ruler to measure the length of her math book. She says that the book is 4/10 meter long. Is her measurement in simplest form? If not, what is the length in simplest form?
No, 2/5
300
#12 Regina, Courtney, and Ellen hiked around Bear Pond. Regina hiked 7/10 of the distance in an hour. Courtney hiked 3/6 of the distance in an hour. Ellen hiked 3/8 of the distance in an hour. Compare the distances using <, >, or =. (Each symbol may be use more than once).
a. 7/10___ 3/6
b. 3/8 ____ 3/6
c. 7/10 ____ 3/8
a. >
b. <
c. >
300
#11 In Mary's homeroom, 10/28 of the students have a cat, 6/12 have a dog, and 2/14 have a pet bird. For a-c, select True or False.
a. In simplest form, 5/14 have a cat.
b. In simplest form, 2/4 have a dog.
c. In simplest form, 1/7 have a bird.
a. True
b. False
c. True
300
If you know that 2/6<1/2, and 3/4 > 1/2, what do you know about 2/6 and 3/4?
2/6 < 3/4
400
Sandy is ordering bread rolls for her party. She wants 3/5 of the rolls to be whole wheat. Shade the models to create equivalent fractions.
9/25, 18/30
400
Put these fractions in order from greatest to least. Use < or > between fractions
3/8, 7/8, 3/5, 4/8, 3/9, 3/4,
3/9, 3/8, 4/8, 3/5, 3/4, 7/8
7/8 > 3/4 > 3/5 > 4/8 > 3/8 > 3/9
400
#13a 
Which ingredient does Ramon use the greatest amount of, cream cheese or buttermilk?
Buttermilk
400
#6 Brad is practicing piano. He spends 1/4 hour practicing scales and 1/3 hour practicing the song for his recital. For a-c select Yes or No.
a. 12 is a common denominator of 1/4 and 1/3.
b. The amount of time spent on scales can be rewritten as 3/12.
c. The amount of time on the song can be rewritten as 6/12.
a. Yes
b. Yes
c. No
400
Rewrite these fractions to have a common denominator
2/3, 3/6, 6/9
12/18 9/18 12/18
500
#16 Ella used 1/4 yard of red ribbon. Fill in each box with a number from the list to show equivalent fractions for 1/4. (Not all numbers will be used).
1/4 = /8 = 4/ = /
1/4 = 2/8 = 4/16 = 5/20
500
There are 18 students in Jacob's homeroom. Six students bring their lunch to school. The rest eat lunch in the cafeteria. In simplest form, what fraction of the students eat lunch in the cafeteria?
2/3
500
#13b
Ramon says that he needs the same amount of two different ingredients. Is he correct? Prove it.
Yes, 3/4 and 6/8 are equivalent.
500
#17a Frank has 2 same-size rectangles divided into the same number of equal parts. One rectangle has 3/4 of the parts shaded, and the other has 1/3 of the parts shaded. Into how many parts could the rectangle be divided? Draw the 2 rectangles. HINT: Think Common denominator = the same number of boxes
500
#18 Suki rode her bike 4/5 mile. Claire rode her bike 1/3 mile. They want to compare how far they each rode their bikes using the benchmark 1/2.
a. 4/5 ___ 1/2
b. 1/3 ___ 1/2
c. Suki rode her bike longer/same/shorter than Claire.
a. >
b. <
c. longer