Mixed Numbers and Improper Fractions — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. Which mixed number is equivalent to the improper fraction 23/6?
A) 3 5/6
B) 4 5/6
C) 3 1/6
D) 2 5/6
Since 23 = 3 × 6 + 5, the improper fraction 23/6 equals the mixed number 3 5/6.
2. Which improper fraction is equivalent to 4 3/5?
A) 20/5
B) 23/5
C) 12/5
D) 19/5
4 times 5 is 20, plus 3 equals 23, so 4 3/5 = 23/5.
3. A juice jug holds 19/4 cups. Between which two whole numbers of cups is this amount?
A) Between 3 and 4 cups
B) Between 4 and 5 cups
C) Between 5 and 6 cups
D) Exactly 5 cups
Since 19/4 = 4 3/4, the jug holds between 4 and 5 cups.
4. Which statement is true about the fraction 12/12?
A) It is greater than 1 whole.
B) It is less than 1 whole.
C) It is exactly equal to 1 whole.
D) It is the same as 1/12.
Because numerator and denominator are equal, 12/12 = 1 whole exactly.
Part B: Fill in the Blank
Write the correct answer on each line.
1. Tomas walked 9/2 miles. Written as a mixed number, that is 4 1/2 miles.
Since 9 = 4 × 2 + 1, the distance equals 4 1/2 miles.
2. A gardener planted 6 1/3 rows of carrots. Written as an improper fraction, that is 19/3 rows.
6 times 3 is 18, plus 1 equals 19, so 6 1/3 rows = 19/3 rows.
3. Each candy bar is split into 5 equal parts. If 18 parts are eaten, that equals 3 whole bars and 3/5 of another bar.
18 fifths equal 3 whole bars (15 fifths) plus 3 fifths left over.
4. On a number line marked in eighths, the point 19/8 lies between the whole numbers 2 and 3.
Because 19/8 = 2 3/8, the point lies between 2 and 3.
5. If 5 wholes are written using sixths, that equals 30/6.
Five wholes contain 5 × 6 = 30 sixths, so 5 = 30/6.