This Grade 4 hard worksheet asks learners to compare two fraction products, such as 5 x 2/3 versus 4 x 5/6. Students compute each product, find a common denominator, and decide which is larger or whether they are equal. Four multiple-choice and five fill-in items deepen 4.NF.4 reasoning with strict numerical justification, equivalent fractions, careful comparison strategies, and clear written explanations of every product comparison.
Style:
Multiplying Fractions by Whole Numbers
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
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. 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
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
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.
2. Compare 3 x 3/4 and 2 x 5/4: the larger product is 2 x 5/4.
3. 6 x 1/4 written in eighths is 12/8, equal to 4 x 3 /8.
4. 7 x 2/5 in tenths equals 28/10, greater than 3 x 9/10 by 1 /10.
5. If 8 x 3/4 = 24/4 = 6 and 5 x 6/5 = 30/5 = 6, the products are equal.
Multiplying Fractions by Whole Numbers
★ 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
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. 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
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
★ 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.
2) Compare 3 x 3/4 and 2 x 5/4: the larger product is 2 x 5/4.
3) 6 x 1/4 written in eighths is 12/8, equal to 4 x 3 /8.
4) 7 x 2/5 in tenths equals 28/10, greater than 3 x 9/10 by 1 /10.
5) If 8 x 3/4 = 24/4 = 6 and 5 x 6/5 = 30/5 = 6, the products are equal.
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9 Questions
12-18 minutes
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