Equivalent Fractions/Comparing Fractions
Write 3 equivalent fractions for 1/2.
(Your answer cannot include a fraction with a denominator larger than 20.)
Possible answers could include...
2/4, 3/6, 4/8, 5/10, 6/12, 7/14, 8/16, 9/18, 10/20
7/10
Brynn and Manuella made 2 pies that were exactly the same size. They cut the first pie into 8 equal pieces. They cut the second pie into 12 equal pieces. They gave Logan 4/8 of the first pie and Liam 6/12 of the second pie. Brynn says that Liam got more but Manuella says they got the same amount.
Who is right - Brynn or Manuella? Explain your thinking using numbers, pictures or words.
Manuella is correct. 4/8 and 6/12 are equivalent.
They are both equal to 1/2.
4 is half of 8 and 6 is half of 12.
Rewrite this by filling in the blank to make the statement true using <,>, or =.
0.10 ____0.25
0.10 <0.25
Write 3/100 as a decimal.
0.03
Which fraction is larger:
1/5 or 1/4 ?
Explain your thinking using numbers, pictures, words.
1/4 is larger
When the numerator is the same, the smaller denominator = larger pieces
Picture or number line strategy works too.
5/8 - 2/8 = ?
3/8
Cassius's family ate half of a large pizza. Maggie's family ate half of a medium pizza. Eddie says that both families ate the same amount of pizza because a half is a half.
Do you agree with Eddie? Use numbers, sketches, or words to explain your answer.
Eddie is incorrect.
You can only compare fractions when the "whole" is the same size. A large and medium pizza are not the same size, so their halves are not the same.
Rewrite this by filling in the blank to make the statement true using <,>, or =.
0.49 _____0.51
0.49 < 0.51
Write 8/10 as a decimal
0.8
0.80 is NOT correct
True or False:
2/4 < 8/12
True
2 5/12 + 7 3/12 =
Nate ran 4/10 of a mile yesterday. Kellan ran 47/100 of a mile.
a. Who ran further? Explain your answer.
b. How much of a mile did the two boys run together? Show your thinking.
4/10 = 40/100
40 < 47 so Kellan ran more.
Altogether, they ran 87/100 of a mile.
Rewrite this by filling in the blank to make the statement true using <,>, or =.
0.90 ____ 0.09
0.90 > 0.09
Write 60/100 as a decimal
0.60
0.6 is NOT correct.
True or False:
3/10 = 30/100
True
Emmy wrote this equation for 5/6:
5/6 = 1/6 + 1/6 + 1/6 + 1/6 +1/6
Write 2 more equations for 5/6 that are true. The denominator has to be 6.
Possible answers could be:
5/6 =
2/6 +3/6
1/6 x 5
4/6 + 1/6
Marcella and Mav want to make 10 hamburgers for dinner. Marcella says it takes 1/4 of a pound of beef for each hamburger.
How many pounds of beef will they need to buy? Show your thinking.
1/4 x 10 = 10/4 pounds of beef
10/4 or 2 2/4 or 2/1/2 pounds of beef.
Rewrite this by filling in the blank to make the statement true using <,>, or =.
0.80 ____ 0.8
0.80 = 0.8
3/5 is equal to what decimal amount?
Show your thinking.
0.60
1/5 = 20/100, so 3/5 = 60/100
or
5 x 20 = 100
3 x 20 = 60....60/100 = 0/60
Grady has 2/3 of a yard of red ribbon and Nathan has 7/12 of a yard of purple ribbon.
Which piece of ribbon is longer, the red or the purple? How do you know? Show your thinking with numbers, sketches, or words.
2/3 > 7/12
The red ribbon (2/3) is longer.
Responses will vary.
55/100 + 2/10 = ?
55/100 + 20/100 = 75/100
Ava, Rose, Eve, Cloe, & Ian are helping set up Ms. Markelon's classroom.
It takes 7 3/6 feet of paper to cover the bulletin board. Ms. Markelon already has a piece of paper that was 3 2/6 feet long, and went and got another that was 4 3/6 long.
a. How much feet of paper do they have in total?
b. Is this enough to cover the bulletin board?
a. 3 2/6 + 4 3/6 = 7 5/6 feet of paper.
b. Yes, they have 2/6 extra feet of paper.
What is the sum of
0.26 + 0.67?
0.26 + 0.67 = 0.93
8/20 is equivalent to what decimal amount?
0.40
1/20 = 5/100, so
8/20 = 40/100