How can you decompose the fraction $$\frac{1}{4}$$ using unit fractions?

You can decompose $$\frac{1}{4}$$ into unit fractions like this: $$\frac{1}{4} = \frac{1}{8} + \frac{1}{8} = \frac{2}{8}$$ or $$\frac{1}{4} = \frac{1}{16} + \frac{1}{16} + \frac{1}{16} + \frac{1}{16} = \frac{4}{16}$$ .

How can you represent $$\frac{1}{3}$$ using unit fractions?

You can represent $$\frac{1}{3}$$ as $$\frac{1}{6} + \frac{1}{6} + \frac{1}{6} = \frac{3}{6}$$ .

If you have $$\frac{2}{6}$$ , how can you decompose it using unit fractions?

You can decompose $$\frac{2}{6}$$ as $$\frac{1}{6} + \frac{1}{6}$$ .

What is the relationship between denominators when decomposing fractions?

When decomposing fractions, the denominators of the unit fractions must be the same or must add up to the original denominator.

How do you find the equivalent fraction of $$\frac{1}{4}$$ ?

To find an equivalent fraction, multiply the numerator and denominator by the same number. For example, $$\frac{1}{4} = \frac{2}{8} = \frac{3}{12}$$ .

What is the importance of understanding unit fractions?

Understanding unit fractions helps in adding, subtracting, and decomposing fractions, which are essential skills in mathematics.

Can you give an example of decomposing $$\frac{3}{4}$$ ?

You can decompose $$\frac{3}{4}$$ as $$\frac{1}{4} + \frac{1}{4} + \frac{1}{4}$$ .

What is the sum of $$\frac{1}{2}$$ and $$\frac{1}{4}$$ ?

The sum is $$\frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4}$$ .

How can you visualize $$\frac{5}{9}$$ ?

You can visualize $$\frac{5}{9}$$ by shading 5 out of 9 equal parts in a tape diagram.

What does it mean for fractions to be equivalent?

Fractions are equivalent if they represent the same part of a whole, even if they have different numerators and denominators.

$Decompose fractions with unit fractions$

Decompose fractions with unit fractions

Flashcard

•

Mathematics

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4th Grade

•

Practice Problem

•

Hard

•

CCSS

3.NF.A.1, 4.NF.B.3B, 4.NF.B.3A

Standards-aligned

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14 questions

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FLASHCARD QUESTION

Front

What is a unit fraction?

Back

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2A

FLASHCARD QUESTION

Front

Back

Tags

CCSS.4.NF.B.3B

FLASHCARD QUESTION

Front

What does it mean to decompose a fraction?

Back

To decompose a fraction means to break it down into smaller fractions that add up to the original fraction.

Tags

CCSS.4.NF.B.3B

FLASHCARD QUESTION

Front

What is the sum of two unit fractions?

Back

Tags

CCSS.4.NF.B.3A

FLASHCARD QUESTION

Front

Back

Tags

CCSS.4.NF.B.3A

FLASHCARD QUESTION

Front

What is a tape diagram?

Back

A tape diagram is a visual representation of fractions that shows how a whole is divided into parts.

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

FLASHCARD QUESTION

Front

Back

Tags

CCSS.4.NF.B.3B

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