Questions and Answers
What fraction of the pets are calico cats?
What is the product of $6 \times \frac{3}{8}$ in simplest form?
2 1/4
What is the product of $\frac{3}{8} \times \frac{8}{9}$ in simplest form?
1/3
What is the product of $5 \times \frac{4}{5}$ in simplest form?
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What is the product of $\frac{2}{5} \times \frac{4}{7}$ in simplest form?
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What is the product of $2 \times \frac{1}{8}$ in simplest form?
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What is the product of $\frac{4}{9} \times \frac{4}{5}$ in simplest form?
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What is the product of $\frac{3}{4} \times 1 \frac{1}{2}$ in simplest form?
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What is the product of $4 \frac{2}{5} \times 1 \frac{1}{2}$ in simplest form?
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What is the product of $2 \frac{1}{2} \times 1 \frac{1}{5}$ in simplest form?
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What is the product of $16 \times 2 \frac{1}{2}$ in simplest form?
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What is the product of $1 \frac{4}{5} \times 15$ in simplest form?
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What is the product of $1 \frac{1}{8} \times 2 \frac{1}{3}$ in simplest form?
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What is the product of $\frac{3}{4} \times 6 \frac{5}{6}$ in simplest form?
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What is the product of $4 \frac{2}{5} \times 10$ in simplest form?
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What is the product of $26 \times 2 \frac{1}{2}$ in simplest form?
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What is the product of $6 \times 3 \frac{2}{3}$ in simplest form?
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What is the product of $1 \frac{2}{3} \times 4 \frac{2}{5}$ in simplest form?
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What is the product of $1 \frac{1}{7} \times 1 \frac{3}{4}$ in simplest form?
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What is the product of $8 \frac{1}{3} \times \frac{3}{5}$ in simplest form?
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What is the product of $2 \frac{5}{8} \times 1 \frac{2}{3}$ in simplest form?
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What is the area of Nancy's garden with dimensions 4 1/2 feet by 3 3/4 feet?
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What is the area of the rug that is 2 3/4 feet long and 2 1/2 feet wide?
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What is the area of a painting that is 2 2/3 feet long and 1 1/2 feet high?
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What is the area of the base of a fountain with dimensions 1 2/3 feet by 2 2/3 feet?
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What is the area of one tile measuring 1 1/2 feet long by 2 3/5 feet wide?
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Determine if the product of $\frac{7}{3} \times \frac{2}{3}$ is greater than, less than, or equal to $\frac{2}{3}$.
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Determine if the product of $\frac{3}{3} \times \frac{2}{3}$ is greater than, less than, or equal to $\frac{2}{3}$.
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Determine if the product of $\frac{1}{3} \times \frac{2}{3}$ is greater than, less than, or equal to $\frac{2}{3}$.
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Using the SYMBOLS, determine if the product will be >, <, or =.
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Determine if the product of $\frac{2}{7} \times 3 \frac{2}{7}$ is greater than, less than, or equal to $3 \frac{2}{7}$.
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Study Notes
Fractions and Products
- In a pet show, 5/6 of pets are cats and 4/5 of those cats are calico, resulting in 2/3 of the pets being calico cats.
- Products involving fractions include:
- 6 x 3/8 = 2 1/4
- 3/8 x 8/9 = 1/3
- 5 x 4/5 = 4
- 2/5 x 4/7 = 8/35
- 2 x 1/8 = 1/4
- 4/9 x 4/5 = 16/45
- 3/4 x 1 1/2 = 1 1/8
- 4 2/5 x 1 1/2 = 6 3/5
- 2 1/2 x 1 1/5 = 3
- 16 x 2 1/2 = 40
- 1 4/5 x 15 = 27
- 1 1/8 x 2 1/3 = 2 5/8
- 3/4 x 6 5/6 = 5 1/8
- 4 2/5 x 10 = 44
- 26 x 2 1/2 = 65
- 6 x 3 2/3 = 22
- 1 2/3 x 4 2/5 = 7 1/3
- 1 1/7 x 1 3/4 = 2
- 8 1/3 x 3/5 = 5
- 2 5/8 x 1 2/3 = 4 3/8
Area Calculations
- Use an area model for multiplication:
- 1 1/3 x 2 1/2 = 3 1/3
- 1 3/8 x 2 1/2 = 3 7/16
- 1 1/9 x 1 2/3 = 1 23/27
- Nancy's garden dimensions: 4 1/2 feet by 3 3/4 feet equals an area of 16 7/8 square feet.
- Rug dimensions: 2 3/4 feet long and 2 1/2 feet wide equal an area of 6 7/8 square feet.
- Painting area: 2 2/3 feet long and 1 1/2 feet high equals 4 square feet.
- Fountain base dimensions: 1 2/3 feet by 2 2/3 feet equal 4 4/9 square feet.
- Carpet tile dimensions: 1 1/2 feet by 2 3/5 feet equal an area of 3 9/10 square feet.
Comparison of Products
- Analyze whether the product is greater than, less than, or equal to a given fraction:
- 7/3 x 2/3 is greater than 2/3.
- 3/3 x 2/3 is equal to 2/3.
- 1/3 x 2/3 is less than 2/3.
- 7/7 x 3 2/7 equals 3 2/7.
- 2/7 x 3 2/7 is less than 3 2/7.
Studying That Suits You
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Description
Test your knowledge with these flashcards covering key concepts from Go Math Chapter 7. Each card presents a math problem that requires finding fractions or products and simplifying them. Prepare for success in your math assessments with this engaging review tool.
