How can you express $$\frac{5}{8}$$ as a sum of unit fractions?

$$\frac{5}{8} = \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8} + \frac{1}{8}$$ .

What is the importance of unit fractions in decomposition?

Unit fractions are important in decomposition because they are the building blocks of all fractions, allowing us to express any fraction as a sum of these simpler parts.

How can you check if your decomposition of a fraction is correct?

You can check your decomposition by adding the unit fractions together to see if they equal the original fraction.

What is a mixed number?

A mixed number is a whole number combined with a fraction, such as 1 $$\frac{1}{2}$$ .

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

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 1 $$\frac{1}{2}$$ becomes $$\frac{3}{2}$$ .

What is the difference between proper and improper fractions?

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

How can you visualize fractions using a number line?

Fractions can be visualized on a number line by marking points that represent their values, showing how they relate to whole numbers.

What is the process of adding fractions with different denominators?

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators.

How can you decompose $$\frac{7}{10}$$ into unit fractions?

$$\frac{7}{10} = \frac{1}{10} + \frac{1}{10} + \frac{1}{10} + \frac{1}{10} + \frac{1}{10} + \frac{1}{10} + \frac{1}{10}$$ .

$Decompose fractions with unit fractions$

Decompose fractions with unit fractions

Flashcard

•

Mathematics

•

4th Grade

•

Practice Problem

•

Hard

•

CCSS

3.NF.A.1, 4.NF.B.3B, 5.NF.B.3

Standards-aligned

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15 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

How do you decompose a fraction?

Back

Tags

CCSS.4.NF.B.3B

FLASHCARD QUESTION

Front

What is the sum of two unit fractions?

Back

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

FLASHCARD QUESTION

Front

What does it mean to represent a fraction with a tape diagram?

Back

A tape diagram visually represents fractions as lengths of tape, showing how parts relate to a whole. It helps in understanding the decomposition of fractions.

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

FLASHCARD QUESTION

Front

Back

Tags

CCSS.4.NF.B.3B

FLASHCARD QUESTION

Front

What is the relationship between fractions and division?

Back

Tags

CCSS.5.NF.B.3

FLASHCARD QUESTION

Front

How do you find a common denominator for fractions?

Back

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