Podcast
Questions and Answers
Which of the following number lines accurately represents the fractions $\frac{1}{2}, \frac{1}{4}, \frac{3}{4}, \frac{4}{4}$?
Which of the following number lines accurately represents the fractions $\frac{1}{2}, \frac{1}{4}, \frac{3}{4}, \frac{4}{4}$?
- A number line divided into eighths, showing only $\frac{2}{8}, \frac{4}{8}, \frac{6}{8},$ and $\frac{8}{8}$.
- A number line divided into quarters, with clear distinctions between $\frac{1}{4}, \frac{1}{2}, \frac{3}{4},$ and $\frac{4}{4}$. (correct)
- A number line with only the fractions $\frac{1}{4}$ and $\frac{3}{4}$ marked.
- A number line divided into halves, with points at $\frac{1}{2}$ and $\frac{4}{4}$.
When $\frac{20}{3}$ is expressed as a mixed fraction, what is the correct representation?
When $\frac{20}{3}$ is expressed as a mixed fraction, what is the correct representation?
- $5\frac{2}{3}$
- $6\frac{2}{3}$ (correct)
- $6\frac{1}{3}$
- $5\frac{5}{3}$
What is the improper fraction representation of the mixed number $7\frac{3}{4}$?
What is the improper fraction representation of the mixed number $7\frac{3}{4}$?
- $\frac{25}{4}$
- $\frac{28}{4}$
- $\frac{31}{4}$ (correct)
- $\frac{21}{4}$
Which of the following statements correctly evaluates whether $\frac{1}{3}$ and $\frac{2}{7}$ are equivalent fractions, and provides a valid justification?
Which of the following statements correctly evaluates whether $\frac{1}{3}$ and $\frac{2}{7}$ are equivalent fractions, and provides a valid justification?
What is the equivalent fraction of $\frac{3}{5}$ that has a denominator of 30?
What is the equivalent fraction of $\frac{3}{5}$ that has a denominator of 30?
Flashcards
Equivalent Fractions
Equivalent Fractions
Fractions that represent the same value.
Improper Fraction
Improper Fraction
A fraction where the numerator is greater than or equal to the denominator.
Mixed Fraction
Mixed Fraction
A whole number and a fraction combined into one "mixed" number.
Finding Equivalent Fractions
Finding Equivalent Fractions
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Number Line
Number Line
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Study Notes
- Exercise 7.2 (Textbook Page 110)
Representing Fractions on a Number Line
- Draw a number line and represent the given points.
- The fractions listed are: 1/2, 1/4, 3/4, 4/4.
- Also 1/8, 2/8, 3/8, 7/8 are listed.
Converting to Mixed Fractions
- Convert the given fractions into mixed fractions.
- The fractions to convert are 20/3 and 17/7.
Converting to Improper Fractions
- Convert the given mixed fractions into improper fractions.
- The mixed fractions to convert are 7 3/4 and 2 5/6.
Equivalent Fractions
- Determine if the given fractions are equivalent and provide a reason.
- The following pairs of fractions are given: 1/3 and 2/7, and, 2/5 and 2/7.
Finding Equivalent Fractions
- Find an equivalent fraction for 3/5.
- The denominator should be 20.
- The denominator should be 30.
Comparing Fractions
- Determine if the given fractions are equal and show the solution method.
- Compare 5/9 and 4/5 to determine equality.
- Compare 4/5 and 16/20 to determine equality.
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