Mixed Numbers and Improper Fractions — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. Maya has 3 1/2 pizzas. Each pizza is cut into halves. How many half slices does Maya have in all?
A) 6 halves
B) 7 halves
C) 8 halves
D) 5 halves
3 1/2 = 7/2, which means 7 half slices, so the answer is 7 halves.
2. On a number line, where does the improper fraction 11/4 fall?
A) Between 1 and 2
B) Between 2 and 3
C) Between 3 and 4
D) Exactly on 3
Since 11/4 = 2 3/4, the point is between 2 and 3 on the number line.
3. Which fraction is equal to exactly 1 whole?
A) 6/8
B) 8/6
C) 6/6
D) 5/6
Only 6/6 has the same numerator and denominator, so it equals 1 whole.
4. Liam ate 9/4 of a granola bar. How would you write 9/4 as a mixed number?
A) 1 1/4
B) 2 1/4
C) 2 3/4
D) 3 1/4
9 = 2 × 4 + 1, so 9/4 = 2 1/4 granola bars.
Part B: Fill in the Blank
Write the correct answer on each line.
1. A baker uses 5 1/2 cups of flour. Written as an improper fraction, that is 11/2 cups.
5 multiplied by 2 is 10, plus 1 equals 11, so 5 1/2 cups = 11/2 cups.
2. A ribbon is 17/3 feet long. Written as a mixed number, the ribbon is 5 2/3 feet.
Since 17 = 5 × 3 + 2, the ribbon is 5 2/3 feet long.
3. Each apple is cut into 4 equal pieces. If there are 9 pieces in a bowl, that equals 2 whole apples and 1 quarter.
9 quarter pieces = 2 whole apples (8 pieces) plus 1 extra quarter piece.
4. On a number line marked in fifths, the point at 13/5 falls between 2 and 3.
Because 13/5 = 2 3/5, it lies between the whole numbers 2 and 3.
5. If 1 whole pizza equals 8/8 slices, then 4 whole pizzas equal 32/8 slices.
Each whole pizza has 8 eighths, so 4 wholes have 32 eighths, written 32/8.