This Grade 4 worksheet uses fraction bar models to introduce multiplying fractions by whole numbers. Students stack unit-fraction bars, count shaded parts, and write products like 3 x 1/4 as 3/4. Visual sentence completion, fill-in-the-blank, and short-answer items reinforce that the numerator changes while the denominator stays the same. Standard 4.NF.4 fluency grows naturally as learners explain models and check answers carefully step by step.
Style:
Multiplying Fractions by Whole Numbers
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
3 x 1/4 equals 3/12 because we multiply both numbers by 3.
Rewrite: 3 x 1/4 equals 3/4 because we add three quarter bars: 1/4 + 1/4 + 1/4.
2. Fix the sentence:
Five bars of 1/6 each shows 5 x 1/6 = 1/30 in the model.
Rewrite: Five bars of 1/6 each shows 5 x 1/6 = 5/6 in the model.
3. Fix the sentence:
If we draw 2 bars of 3/5, the model show 6/10 shaded total.
Rewrite: If we draw 2 bars of 3/5, the model shows 6/5 shaded total.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. Three stacked bars of 1/4 each combine to show 3/4 shaded.
2. A bar model of 4 x 1/5 has 4 fifths shaded in total.
3. Six bars of 1/8 stacked together cover 6/8 of one whole.
4. Two bars of 2/3 each, drawn end to end, shade 4 thirds total.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Draw a bar model that shows 5 x 1/6 and explain the result.
I draw five bars, each shaded 1/6. Together they cover 5/6 of the whole because 5 x 1/6 = 5/6.
2. Use a bar model to show why 4 x 1/3 is greater than one whole.
Four bars of 1/3 give 4/3. Since 3/3 makes one whole, the extra 1/3 makes the total greater than 1.
Multiplying Fractions by Whole Numbers
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
3 x 1/4 equals 3/12 because we multiply both numbers by 3.
Rewrite: 3 x 1/4 equals 3/4 because we add three quarter bars: 1/4 + 1/4 + 1/4.
2) Fix the sentence:
Five bars of 1/6 each shows 5 x 1/6 = 1/30 in the model.
Rewrite: Five bars of 1/6 each shows 5 x 1/6 = 5/6 in the model.
3) Fix the sentence:
If we draw 2 bars of 3/5, the model show 6/10 shaded total.
Rewrite: If we draw 2 bars of 3/5, the model shows 6/5 shaded total.
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) Three stacked bars of 1/4 each combine to show 3/4 shaded.
2) A bar model of 4 x 1/5 has 4 fifths shaded in total.
3) Six bars of 1/8 stacked together cover 6/8 of one whole.
4) Two bars of 2/3 each, drawn end to end, shade 4 thirds total.
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) Draw a bar model that shows 5 x 1/6 and explain the result.
I draw five bars, each shaded 1/6. Together they cover 5/6 of the whole because 5 x 1/6 = 5/6.
2) Use a bar model to show why 4 x 1/3 is greater than one whole.
Four bars of 1/3 give 4/3. Since 3/3 makes one whole, the extra 1/3 makes the total greater than 1.
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9 Questions
15-20 minutes
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