Multiplying Fractions by Whole Numbers — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. Which product is larger: 5 x 2/3 or 4 x 5/6?
A) 5 x 2/3 is larger
B) 4 x 5/6 is larger
C) They are equal
D) Cannot be compared
5 x 2/3 = 10/3 = 20/6 and 4 x 5/6 = 20/6, so the products are equal.
2. Which is greater: 3 x 3/4 or 2 x 5/4?
A) 3 x 3/4 is greater
B) 2 x 5/4 is greater
C) They are equal
D) Cannot tell
3 x 3/4 = 9/4 and 2 x 5/4 = 10/4, so 10/4 > 9/4, meaning 2 x 5/4 is greater.
3. Which product is larger: 6 x 1/4 or 4 x 3/8?
A) 6 x 1/4 is larger
B) 4 x 3/8 is larger
C) They are equal
D) Cannot tell
6 x 1/4 = 6/4 = 12/8 and 4 x 3/8 = 12/8, so the products are equal.
4. Which is larger: 7 x 2/5 or 3 x 9/10?
A) 7 x 2/5 is larger
B) 3 x 9/10 is larger
C) They are equal
D) Cannot tell
7 x 2/5 = 14/5 = 28/10 and 3 x 9/10 = 27/10, so 7 x 2/5 is larger.
Part B: Fill in the Blank
Write the correct answer on each line.
1. 5 x 2/3 = 10/3 and 4 x 5/6 = 20/6, so the products are equal.
10/3 = 20/6, which matches 20/6 exactly, so the products are equal.
2. Compare 3 x 3/4 and 2 x 5/4: the larger product is 2 x 5/4.
2 x 5/4 = 10/4 is greater than 3 x 3/4 = 9/4 by 1/4.
3. 6 x 1/4 written in eighths is 12/8, equal to 4 x 3 /8.
4 x 3/8 = 12/8, matching 6 x 1/4 = 12/8 exactly.
4. 7 x 2/5 in tenths equals 28/10, greater than 3 x 9/10 by 1 /10.
28/10 - 27/10 = 1/10, so 7 x 2/5 is greater by one tenth.
5. If 8 x 3/4 = 24/4 = 6 and 5 x 6/5 = 30/5 = 6, the products are equal.
Both expressions reduce to the whole number 6, so the products are equal.