A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction $$\frac{1}{2}$$ , 1 is the part and 2 is the whole.

How do you find a common denominator for $$\frac{1}{3}$$ and $$\frac{1}{4}$$ ?

The least common denominator (LCD) of $$\frac{1}{3}$$ and $$\frac{1}{4}$$ is 12. You can convert the fractions to $$\frac{4}{12}$$ and $$\frac{3}{12}$$ .

What is the first step in comparing $$\frac{3}{8}$$ and $$\frac{5}{8}$$ ?

Since both fractions have the same denominator (8), you can compare the numerators directly. Here, 3 is less than 5, so $$\frac{3}{8}

How can you tell if two fractions are equal?

Two fractions are equal if they represent the same part of a whole. For example, $$\frac{1}{2}$$ is equal to $$\frac{2}{4}$$ because they both represent the same amount.

What is the process to compare $$\frac{3}{4}$$ and $$\frac{1}{6}$$ ?

To compare $$\frac{3}{4}$$ and $$\frac{1}{6}$$ , find a common denominator or convert them to decimals. Here, $$\frac{3}{4} > \frac{1}{6}$$ .

What is a visual model for comparing fractions?

A visual model, like a number line or pie chart, can help compare fractions by showing their relative sizes. For example, on a number line, you can see where each fraction falls.

What is the relationship between fractions and decimals?

Fractions can be converted to decimals by dividing the numerator by the denominator. For example, $$\frac{1}{2} = 0.5$$ .

How do you add fractions with different denominators?

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators. For example, to add $$\frac{1}{3} + \frac{1}{4}$$ , convert to $$\frac{4}{12} + \frac{3}{12} = \frac{7}{12}$$ .

What is the importance of simplifying fractions?

Simplifying fractions makes them easier to understand and work with. For example, $$\frac{4}{8}$$ can be simplified to $$\frac{1}{2}$$ .

What does it mean if two fractions are equivalent?

Two fractions are equivalent if they represent the same value, even if they have different numerators and denominators. For example, $$\frac{2}{4}$$ and $$\frac{1}{2}$$ are equivalent.

How can you use a number line to compare fractions?

A number line can show the position of fractions, allowing you to visually compare their sizes. For example, $$\frac{3}{4}$$ is to the right of $$\frac{1}{2}$$ on a number line, indicating it is larger.

Comparing Fractions Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is a fraction?

Back

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

2.

FLASHCARD QUESTION

Front

What does it mean to compare fractions?

Back

Comparing fractions involves determining which fraction is larger, smaller, or if they are equal. This can be done by looking at the numerators and denominators or by converting them to a common denominator.

Tags

CCSS.4.NF.A.2

3.

FLASHCARD QUESTION

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions. It allows for easy comparison or addition of fractions.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.3.NF.A.3D

6.

FLASHCARD QUESTION

Front

What does the symbol '<' mean?

Back

Tags

CCSS.3.NF.A.3D

7.

FLASHCARD QUESTION

Front

What does the symbol '>' mean?

Back

Tags

CCSS.3.NF.A.3D

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