Comparing Fractions
Which symbol goes in the blank?
2/8_______4/8
< less than
Which fraction is equivalent to 1/2?
A) 1/3
B) 2/4
C) 2/3
B) 2/4
What is the area of a rectangle that is 4 units long and 3 units wide?
The area is 12 square units. (Area = length × width, so 4 × 3 = 12.)
What is the perimeter of a rectangle with a length of 10 units and a width of 12 units?
The perimeter is 44 units. (Perimeter = 2 × (length + width) = 2 × (10 + 12) = 44.)
Sarah has 632 marbles. She buys 179 more marbles. How many marbles does she have now?
811 marbles
(632 + 179 = 811)
Compare these fractions: 2/4 and 2/8
Which fraction is larger?
2/4 is larger because when the numerators are the same, the fraction with the smaller denominator is bigger.
Fill in the missing number:
2/3 = ?/6
4
A square has sides that are each 5 units long. What is the area of the square?
The area is 25 square units. (Area = side × side, so 5 × 5 = 25.)
What is the perimeter of a square with sides that are each 7 inches long?
The perimeter is 28 inches. (Perimeter = 4 × side = 4 × 7 = 28.)
There are 700 students in a school. If 438 students go home early after a program, how many students are left at the school?
262 students. (700 - 438 = 262)
Sam has two ribbons. One ribbon is 5/8 yard long. The other ribbon is 7/8 yard long. Which ribbon is longer?
The second ribbon 7/8 is longer. When fractions have the same denominator, you compare the numerators.
Which pair of fractions are NOT equivalent?
A) 1/4 and 2/8
B) 3/6 and 4/8
C) 1/3 and 1/6
D) 1/3 and 2/6
C) 1/3 and 1/6
A garden is in the shape of a rectangle that is 8 units long and 6 units wide. If you want to plant grass in the whole garden, what is the area that needs grass?
The area is 48 square units. (Area = length × width, so 8 × 6 = 48.)
An triangle that has all congruent sides has a perimeter of 24 units. What is the length of each side?
Each side is 8 units. (Since all sides are equal, divide the perimeter by 3: 24 ÷ 3 = 8.)
A baker makes 712 cookies. He bakes 122 more cookies. If he gives away a total of 150 cookies, how many cookies does he have left?
684 cookies.
Mya and Lisa went out for a run. Mya ran 2/4 of a mile. Lisa ran 2/8 of a mile. Who ran more distance?
Mya
Maya colored 3/6 of her poster blue. Write two other fractions equivalent to 3/6 using only the denominators 2, 3, 4, 6, or 8.
1/2 and 4/8 (Both are equivalent to 3/6.)
A rectangular room is 10 units long and 7 units wide. If you want to cover the floor with tiles that are 1 unit by 1 unit, how many tiles do you need?
You need 70 tiles. (Area = length × width, so 10 × 7 = 70.)
A quadrilateral has three sides measuring 5 units, 8 units, and 10 units. If the perimeter is 40 units, what is the length of the missing side?
The missing side is 17 units. (Perimeter = sum of all sides, so 40 = 5 + 8 + 10 + missing side. Thus, missing side = 40 - (5 + 8 + 10) = 17.)
A box contains 6 rows of 3 toys each. After taking out 9 toys, how many toys are left in the box?
9 toys left.
Order these fractions from greatest to least.
1/6, 1/4, 1/2, 1/8
1/2, 1/4, 1/6, 1/8
Use a model and explain:
Is 4/6 equivalent to 4/8?
No, 4/6 is not equivalent to 4/8.
If a rectangle has an area of 24 square units and a width of 4 units, what is the length of the rectangle?
The length is 6 units. (Area = length × width, so 24 = length × 4. Thus, length = 24 ÷ 4 = 6.)
A hexagon has a perimeter of 72 units. If five of its sides measure 10 units, 8 units, 6 units, 7 units, and 5 units, what is the length of the missing sixth side?
The missing side is 36 units.
There are 42 cookies shared equally among 7 plates. Then, Mia eats half of the cookies on one plate. How many cookies did Mia eat?
Mia ate 3 cookies.
Step 1: 42 ÷ 7 = 6 cookies on each plate
Step 2: Half of 6 = 3