Equivalent Fractions
Which of the following is equivalent to one half?
A. three-fourths
B. six-twelfths
C. eight-ninths
What is B. six-twelfths?
What is the common unit between halves and thirds? Demonstrate with a diagram.
Sixths, with a picture.
4/8
4/8 div 2/2 = 1/2
1/2 + 3/5
What is
11/10 or 1 1/10
Brooklyn had chipotle for dinner last night. When she was done crushing, she had 3/11 remaining. If she shared 1/3 with her big sister, how much did she eat?
Brooklyn had 13/33 of chipotle
Write an equivalent fraction for eight-fourteenths, be sure to show what was done to the fraction to get an equivalent fraction.
8/14 div 2/2= 4/7
8/14 x 2/2 = 16/28
answers will vary.
What is a common unit between fourths and thirds?
Be sure to include a diagram.
Twelfths, with a picture.
3/9
3/9 div 3/3 = 1/3
5/7 + 1/2
What is
17/14 or 1 3/14
Simplify for double points.
3/4 - 3/8
12/32 div 4/4 = 3/8
Why is 1/6 equal to 3/18?
1/6 = 3/18 due to 1/6 xx 3/3 = 3/18
What is a common unit between fourths and halves? Use a diagram to demonstrate thinking.
Fourths or eighths, with a picture.
18/45
18/45 div 9/9 = 2/5
James collected sugar from four stores. From the first store he collected 3/4 gallon of sugar. From the last three, he collected 2/5 gallon of sugar each. How many gallons of sugar did he collect in all?
What is
39/20 or 1 19/20
1 3/4 - 4/5
19/20
Write eight-thirds as a mixed number.
8/3 is equal to
2 2/3
Tj said (show picture) Explain why Tj is incorrect and then provide the correct answer using a diagram to explain a method he could have used.
Tj is incorrect because he added the numerator to the numerator and denominator to the denominator. He should have found like units instead. The correct answer is
22/15 = 1 7/15
24/84
24/84 div 12/12 = 2/7
Sharon had some grapes and gave away a few to her classmates. She gave David 1/3 kg of grapes, Steph 2/5 kg of grapes and Matt 3/10 kg of grapes. Sharon still had 2 kg of grapes left. How many kg of grapes did she bring to school? Simplify your answer for double points.
*Hint* divide by one to simplify.
What is
455/150 = 3 5/150 =3 1/30 !
Jeff had 4/5 gallon of peanut butter, and decided to make some sandwiches and cookies. The cookies needed 1/2 gallon of peanut butter and he was going to make 2 sandwiches that each used 1/12 gallon. How much peanut butter was left?
Simplify for double points
*Hint* Divide by one to simplify.
What is
16/120 = 8/60 = 2/15!
7-fifteenths is how many forty-fifths?
7/15 xx 3/3 = 21/45
What problem does the diagram display? Solve it.
Simplify for double points.
*Hint* Divide by one to simplify.
2/3 + 4/6 = 24/18 = 1 6/18 = 1 2/3!
53/10
53/10 - 50/10 = 3/10
50/10 = 5 | 5 + 3/10 = 5 3/10
The Hendrix family combined two bags of dry cereal in a plastic container. One bag had 5/6 kg of cereal. The other bag had 3/4 kg. What was the total weight of the container after the bags were combined? Simplify your answer for double points.
*Hint* divide by one to simplify.
What is
38/24 = 1 14/24 = 1 7/12!
Shelby bought a 2 ounce tube of red paint. She used 2/3 ounce to paint the fire truck, 3/6 ounce to paint the apple and 1/4 ounce to paint the ball. How much paint did she have left?
Simplify your answer for double points
*Hint* divide by one to simplify.
42/72 div 6/6= 7/12!