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 $$\frac{3}{4}$$ , 3 is the numerator and 4 is the denominator.

How can you decompose $$\frac{5}{5}$$ ?

$$\frac{5}{5}$$ can be decomposed into $$\frac{1}{5} + \frac{1}{5} + \frac{1}{5} + \frac{1}{5} + \frac{1}{5}$$ .

What is the difference between proper and improper fractions?

A proper fraction has a numerator smaller than its denominator (e.g., $$\frac{3}{4}$$ ), while an improper fraction has a numerator that is equal to or larger than its denominator (e.g., $$\frac{5}{4}$$ ).

How do you add fractions with the same denominator?

To add fractions with the same denominator, keep the denominator the same and add the numerators. For example, $$\frac{1}{4} + \frac{2}{4} = \frac{3}{4}$$ .

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 $$\frac{1}{3} + \frac{1}{4}$$ , the common denominator is 12, so it becomes $$\frac{4}{12} + \frac{3}{12} = \frac{7}{12}$$ .

What is a mixed number?

A mixed number is a whole number combined with a proper fraction. For example, $$1 \frac{1}{2}$$ is a mixed number.

How can you convert an improper fraction to a mixed number?

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder becomes the numerator of the proper fraction. For example, $$\frac{9}{4} = 2 \frac{1}{4}$$ .

What is the relationship between fractions and division?

Fractions can be interpreted as division. For example, $$\frac{3}{4}$$ can be understood as 3 divided by 4.

What is the value of $$\frac{2}{5} + \frac{3}{5}$$ ?

The value is $$1$$ , since $$\frac{2}{5} + \frac{3}{5} = \frac{5}{5} = 1$$ .

How do you decompose $$\frac{4}{5}$$ into two fractions?

$$\frac{4}{5}$$ can be decomposed into $$\frac{3}{5} + \frac{1}{5}$$ .

Decomposing Fractions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a fraction?

Back

2.

FLASHCARD QUESTION

Front

What does it mean to decompose a fraction?

Back

3.

FLASHCARD QUESTION

Front

What is the numerator in a fraction?

Back

4.

FLASHCARD QUESTION

Front

What is the denominator in a fraction?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is an equivalent fraction?

Back

7.

FLASHCARD QUESTION

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Back

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