Fractions: Halves, Thirds, and Fourths — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. Maria cut her sandwich into 3 equal pieces and ate one piece. What fraction did she eat?
A) 12
B) 13
C) 14
D) 33
Maria's sandwich was cut into 3 equal pieces, so each piece is one-third, and eating one piece means she ate 13 of the sandwich.
2. Tom has 8 grapes. He gives one-fourth to his friend. How many grapes does his friend get?
A) 1
B) 2
C) 3
D) 4
One-fourth of 8 grapes means splitting 8 into 4 equal groups, and 8 ÷ 4 = 2, so the friend gets 2 grapes.
3. Which fraction is equal to 2 parts out of 4 equal parts?
A) 14
B) 13
C) 12
D) 34
Two parts out of 4 equal parts is 24, and 24 is the same as 12 because half of 4 is 2.
4. A pie is cut into 2 equal pieces. Mia eats both pieces. What fraction of the pie did she eat?
A) 12
B) 24
C) 22
D) 14
The pie was cut into 2 equal pieces and Mia ate both, so she ate 2 out of 2 pieces, which is 22, the entire pie.
Part B: Fill in the Blank
Write the correct answer on each line.
1. One-third of 9 apples is 3 apples.
Splitting 9 apples into 3 equal groups gives 9 ÷ 3 = 3 apples in each group, so one-third of 9 is 3.
2. One-half of 14 pencils is 7 pencils.
Half of 14 pencils means splitting 14 into 2 equal groups, and 14 ÷ 2 = 7 pencils in each group.
3. One-fourth of 20 stickers is 5 stickers.
One-fourth of 20 stickers means dividing 20 into 4 equal groups, and 20 ÷ 4 = 5 stickers in each group.
4. If you eat 1 out of 4 equal slices of pizza, you ate 14.
If a pizza has 4 equal slices and you eat 1 of them, the fraction is 14: one part out of 4 equal parts.
5. Two-fourths of a candy bar is the same as 12.
Two-fourths and one-half name the same amount, since 2 out of 4 equal parts covers the same space as 1 out of 2 equal parts.