Math Chapter 7 Mid-Chapter Quiz

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Questions and Answers

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?

The product will be less than both factors since I am finding part of a part.

What is $\frac{2}{3} \times 6$?

4

What is $\frac{4}{5} \times 7$?

<p>5 \frac{3}{5}</p> Signup and view all the answers

What is $8 \times \frac{5}{7}$?

<p>5 \frac{5}{7}</p> Signup and view all the answers

What is $\frac{7}{8} \times \frac{3}{8}$?

<p>\frac{21}{64}</p> Signup and view all the answers

What is $\frac{1}{2} \times \frac{3}{4}$?

<p>\frac{3}{8}</p> Signup and view all the answers

What is $\frac{7}{8} \times \frac{4}{7}$?

<p>\frac{1}{2}</p> Signup and view all the answers

What is $2 \times \frac{3}{11}$?

<p>\frac{6}{11}</p> Signup and view all the answers

What is $\frac{5}{8} \times \frac{2}{3}$?

<p>\frac{5}{12}</p> Signup and view all the answers

What is $\frac{7}{12} \times 8$?

<p>4 \frac{2}{3}</p> Signup and view all the answers

$3 \times \frac{2}{3}$ will be ____________ 3.

<p>less than</p> Signup and view all the answers

$\frac{5}{7} \times 3$ will be ____________ 5/7.

<p>greater than</p> Signup and view all the answers

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?

<p>\frac{25}{36}</p> Signup and view all the answers

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?

<p>2 \frac{2}{3}</p> Signup and view all the answers

Write an expression that matches Matt's model.

<p>\frac{1}{3} \times \frac{3}{4}</p> Signup and view all the answers

$\frac{3}{3} \times \frac{4}{7}$ is __________________ 4/7.

<p>equal to</p> Signup and view all the answers

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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.

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