Equivalent Fractions
Is 2/10 equivalent to 20/100? Explain your reasoning with words, numbers, or labeled sketches. You must explain your reasoning to receive full points!
Yes. Explanations will vary.
Solve this equation:
3/12 + 4/12 =
7/12
Write 3/10 as a decimal.
0.30
Lori made 2 pies that were exactly the same size. She cut the first pie into 8 equal pieces. She cut the second pie into 12 equal pieces. She gave 4/8 of the first pie to the kids next door, and 6/12 of the second pie to her cousins. Lori’s little brother, Sam, said it wasn’t fair because the cousins got more pie than the kids next door. Lori said they got exactly the same amount of pie.
Who is right, Sam or Lori?Lori is right. Work will vary but should show that 4/8 and 6/12 are equivalent to 1/2.
Willie wrote this equation on his paper:
5/6 = 1/6 + 1/6 + 1/6 + 1/6 + 1/6
Is Willie’s equation true?
Yes
Slide 1
Slide 2
Add 3/9 + 1/3. Show your work with numbers, words, or labeled sketches. You must show your work to receive full points!
6/9 or 2/3. Work will vary.
Write 4/100 as a decimal.
0.04
Erica’s family ate half of a large pizza. Martins’ family ate half of a medium pizza. Erica’s little sister, Beth, says both families ate the same amount of pizza because a half is the same as a half.
Do you agree with Beth? Why or why not? Be prepared to explain or show your work with numbers, words, or labeled sketches!
Beth is incorrect. Explanations will vary.
Write three more equations for 5/6 that are all true and all different. Use only fractions with a denominator of 6 in your equations.
Answers will vary. Some possible answers include:
1/6 + 4/6 = 5/6
2/6 + 2/6 + 1/6 = 5/6
3/6 + 2/6 = 5/6
6/6 - 1/6 = 5/6
Slide 3
Slide 4
Sara wrote this equation on her paper:
1 3/8 = 8/8 + 3/8
Is Sara's equation true?
Yes.
Add 2/10 + 55/100. Write your answer as both a fraction and a decimal.
75/100 and 0.75
Jared has 3 cookies to share among 5 friends. He says he can divide each cookie into 5 equal parts and give 1 part of each cookie to each friend, and then everyone will have the same amount. Make a labeled sketch to show how much each of the 5 friends will get.
Don't forget to write a fraction that tells how much cookie each friend will get!
Each friend will get 3/5 of a cookie. Work will vary.
Slide 9
Slide 10
Slide 5
Slide 6
Write three more equations for 1 3/8 that are all true and all different. Use only fractions with a denominator of 8 in your equations.
Answers will vary. Some examples:
1 3/8 = 7/8 + 4/8
1 3/8 = 6/8 + 5/8
1 3/8 = 8/8 + 2/8 + 1/8
Slide 7
Slide 8
Ebony has 2/3 of a yard of red ribbon and 7/12 of a yard of purple ribbon.
Which piece of embroidery thread is longer, the red or the purple? Show your thinking with words, numbers, or labeled sketches!
The red thread is longer. Work will vary.
Is the statement below true or false?
2/4 < 8/12
True
Write two equivalent fractions for 1/4. Show your reasoning with numbers, words, or labeled sketches. You must show your thinking to receive full points!
2/8 and 3/12
Work will vary
Write two equations for 1 4/12 that are all true and all different. Use only fractions with a denominator of 12 in your equations.
Answers will vary. Some examples:
1 4/12 = 7/12 + 9/12
1 4/12 = 5/12 + 11/12
1 4/12 = 12/12 + 2/12 + 2/12
Use >, <, or = to make the statement below true. Be prepared to explain your reasoning.
6/10 ___ 59/100
6/10 > 59/100
Reasoning will vary.
Miguel and his dad want to make 10 hamburgers for the family’s dinner tonight. Miguel’s mom says it takes 1/4 pound of ground beef for each hamburger.
How many pounds of ground beef will they need to buy? Show your work.
They will need to buy 2 1/2 pounds of ground beef (equivalent fractions are acceptable). Work will vary.
Write 0.73 as a fraction
73/100