Area Models
Equivalent Fractions - Multiplication
Equivalent Fractions - Division
Comparing Fractions
100
Draw an area model that correctly shows the fraction
4/5
Show Ms. K your drawing.
100
Which expression is equivalent to
3/12?
A. 1/2
B. 6/36
C. 6/24
D. 3/24
C 6/24
100
Find a fraction equivalent to
8/12
by dividing the numerator and denominator by 4.
2/3
100
Which benchmark fraction is between
5/4 and 3/4
A. 1/4
B. 1/2
C. 3/16
D. 1
B.
1/2
200
Write an expression that compares the two fractions represented in the area models.
2/4 = 1/2
200
Write two equivalent fractions for 2/5 .
Show how you multiplied.
Example:
2/5 x 2/2 = 4/10 AND 2/5 x 3/3 = 6/15
200
Riley has
18/24
of a pizza left.
He says that’s the same as 3/4 .
Is he correct?
Use division of the numerator and denominator by the same number to explain.
18/24 ÷ 6/6 = 3/4
200
Which benchmark is between 5/6 and 4/3 ?
A. 1/2
B. 1
B. 1
300
Complete the expression with the correct numerators.
4/6 = 2/3
300
Which fraction is equivalent to
9/12
when multiplied by 7?
63/84
300
Simplify (make this fraction smaller)
12/16
by dividing numerator and denominator by the greatest common factor (GCF).
Hint: First, list the factors of 12 and 16.
Factors of 12: (1,12) (2,6) (3,4)
Factors of 16: (1,16) (2,8) (4)
The Greatest Common Factor (GCF) is 4.
12/16 ÷ 4/4 = 3/4
300
Compare the two fractions.
3/4 ______
11/12
3/4 < 11/12
400
Fill in the correct denominators according to the area model.
6/10 = 3/5
400
Sofia says that multiplying the numerator by 6 and the denominator by 2 gives an equivalent fraction to 3/9 .
Is she correct? Explain why or why not. Write in complete sentences.
Sofia is incorrect because in order to get an equivalent fraction, you must multiply the numerator and the denominator by the same number. She used two different numbers.
400
A farmer plants 54/90 of her field with corn. Her son says, “That’s the same as
6/10
.”
Her daughter says, “No, that’s the same as
3/5
.”
Who is correct?
Use division to show your reasoning.
They are both correct.
54/90 ÷ 9/9 = 6/10
AND
6/10 ÷ 2/2 = 3/5
400
Marcus and Lila are painting banners for spirit day.
Marcus has painted 5/8 of his banner.
Lila has painted 7/12 of her banner.
Who has painted a greater fraction of their banner?
Use a strategy of your choice to show your work.
Marcus painted more. 5/8 > 7/12
500
Maria and Sam are each ordering a pizza for their family. Both pizzas are the same size, but they choose different toppings.
Maria’s pizza is cut into 4 slices, and her family eats 3.
Sam’s pizza is cut into 8 slices, and his family eats 6.
Draw an area model for each pizza to show the amount eaten.
Which family ate more pizza, or did they eat the same amount? Use your models to explain your answer.
Show Ms. K your area model.
Sam and Maria's family's ate the same amount of pizza.
500
A baker is preparing two pans of brownies for a school fair. The recipe says to use 3/8 of a cup of cocoa powder per batch. The baker’s large scoop measures exactly 15/40 of a cup.
Are the measurements equivalent? Prove your answer using multiplication.
Yes, the measurements are equivalent.
3/8 x 5/5 = 15/40
500
A bottle contains
48/72
liters of juice.
List three different correct ways to find an equivalent fraction using division.
Examples:
48/72 ÷ 12/12 = 4/6
48/72 ÷ 6/6 = 8/12
48/72 ÷ 8/8 = 6/9
500
A recycling drive at two elementary schools had these results:
Park School recycled 11/15 of all their paper waste.
River School recycled 17/25 of all their paper waste.
Part A: Which school recycled a greater fraction of their paper waste? Show your work by rewriting both fractions with a common denominator.
Park School recycled more. 11/15 > 17/25