Podcast
Questions and Answers
Explain how you would model $5 \times \frac{2}{3}$.
Explain how you would model $5 \times \frac{2}{3}$.
I would draw five circles and shade each circle to show $\frac{2}{3}$.
When you multiply $\frac{2}{3}$ by a fraction less than one, how does the product compare to the factors?
When you multiply $\frac{2}{3}$ by a fraction less than one, how does the product compare to the factors?
The product will be less than both factors since I am finding part of a part.
What is $\frac{2}{3} \times 6$?
What is $\frac{2}{3} \times 6$?
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What is $\frac{4}{5} \times 7$?
What is $\frac{4}{5} \times 7$?
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What is $8 \times \frac{5}{7}$?
What is $8 \times \frac{5}{7}$?
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What is $\frac{7}{8} \times \frac{3}{8}$?
What is $\frac{7}{8} \times \frac{3}{8}$?
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What is $\frac{1}{2} \times \frac{3}{4}$?
What is $\frac{1}{2} \times \frac{3}{4}$?
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What is $\frac{7}{8} \times \frac{4}{7}$?
What is $\frac{7}{8} \times \frac{4}{7}$?
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What is $2 \times \frac{3}{11}$?
What is $2 \times \frac{3}{11}$?
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What is $\frac{5}{8} \times \frac{2}{3}$?
What is $\frac{5}{8} \times \frac{2}{3}$?
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What is $\frac{7}{12} \times 8$?
What is $\frac{7}{12} \times 8$?
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$3 \times \frac{2}{3}$ will be ____________ 3.
$3 \times \frac{2}{3}$ will be ____________ 3.
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$\frac{5}{7} \times 3$ will be ____________ 5/7.
$\frac{5}{7} \times 3$ will be ____________ 5/7.
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There is $\frac{5}{6}$ of an apple pie left from dinner. Tomorrow, Ms. McKay plans to eat $\frac{1}{6}$ of the pie that was left. How much of the whole pie will be left after she eats tomorrow?
There is $\frac{5}{6}$ of an apple pie left from dinner. Tomorrow, Ms. McKay plans to eat $\frac{1}{6}$ of the pie that was left. How much of the whole pie will be left after she eats tomorrow?
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If the recipe calls for $\frac{2}{3}$ cup of oil, how much oil will they need if they want to make 4 times the amount?
If the recipe calls for $\frac{2}{3}$ cup of oil, how much oil will they need if they want to make 4 times the amount?
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Write an expression that matches Matt's model.
Write an expression that matches Matt's model.
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$\frac{3}{3} \times \frac{4}{7}$ is __________________ 4/7.
$\frac{3}{3} \times \frac{4}{7}$ is __________________ 4/7.
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Study Notes
Multiplication of Fractions
- Modeling multiplication of fractions can be visualized by using circles; for example, modeling 5 x 2/3 involves drawing five circles and shading 2/3 of each.
- When multiplying a fraction (like 2/3) by another fraction less than one, the product is smaller than both factors, representing "part of a part."
Specific Fraction Multiplications
- Multiplying 2/3 by 6 results in 4.
- For 4/5 multiplied by 7, the product is 5 3/5.
- 8 times 5/7 equals 5 5/7.
- The multiplication of 7/8 by 3/8 results in 21/64.
- Half (1/2) multiplied by 3/4 equals 3/8.
- 7/8 multiplied by 4/7 simplifies to 1/2.
- The product of 2 and 3/11 yields 6/11.
- 5/8 multiplied by 2/3 gives 5/12.
- Multiplying 7/12 by 8 results in 4 2/3.
Relationships in Multiplication
- 3 x 2/3 is less than 3.
- Multiplying 5/7 by 3 results in a value greater than 5/7.
Real-Life Applications
- If there is 5/6 of an apple pie left and Ms. McKay plans to eat 1/6 of it, 25/36 of the whole pie remains after her consumption.
- If a recipe calls for 2/3 cup of oil and the desired amount is quadrupled, a total of 2 2/3 cups of oil is needed.
Mathematical Expressions
- An expression corresponding to a model could be represented as 1/3 x 3/4.
- The equation 3/3 x 4/7 equates to 4/7, demonstrating equal values.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your understanding of multiplication with fractions in this chapter 7 mid-chapter checkpoint quiz. Each question invites you to explain concepts and solve problems based on multiplying fractions. Use these flashcards to reinforce your knowledge and improve your math skills.
