Multiplying Fractions by Whole Numbers — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. 3 x 5/4 equals 15/4, which as a mixed number is 3 3/4.
15 / 4 = 3 remainder 3, so 15/4 = 3 wholes and 3/4.
2. 4 x 2/3 = 8/3, and 8/3 written as a mixed number is 2 2/3.
8 / 3 = 2 remainder 2, giving the mixed number 2 2/3.
3. 5 x 3/4 = 15/4, which simplifies to the mixed number 3 3/4.
Three full fours make 12; the leftover 3 fourths give 3 3/4.
4. 6 x 2/5 equals 12/5, and 12/5 as a mixed number is 2 2/5.
12 / 5 = 2 remainder 2, so 12/5 becomes 2 2/5.
5. 2 x 7/3 = 14/3, written as a mixed number that equals 4 2/3.
14 / 3 = 4 remainder 2, so 14/3 = 4 2/3.
6. 3 x 4/5 = 12/5, and 12/5 as a mixed number equals 2 2/5.
Two fives equal ten; the remaining 2 fifths give 2 2/5.
7. 7 x 1/2 equals 7/2, which converts to the mixed number 3 1/2.
7 / 2 = 3 remainder 1, so 7/2 = 3 1/2.
8. 5 x 5/6 = 25/6, and 25/6 written as a mixed number is 4 1/6.
Four sixes equal 24; the leftover 1 sixth makes 4 1/6.
9. 8 x 3/4 = 24/4, and 24/4 as a whole or mixed number is 6.
24 / 4 = 6 with no remainder, so the product is the whole number 6.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
3 x 5/4
→ 3 3/4
3 3/4
4 x 2/3
→ 2 2/3
2 2/3
5 x 3/4
→ 3 3/4
3 1/2
7 x 1/2
→ 3 1/2
8 1/2
Multiply the whole number by the numerator, then divide by the denominator to find the mixed number.