What is the greater fraction: $$\frac{3}{5}$$ or $$\frac{2}{3}$$ ?

To compare $$\frac{3}{5}$$ and $$\frac{2}{3}$$ , find a common denominator or convert to decimals. $$\frac{3}{5} = 0.6$$ and $$\frac{2}{3} \text{ is approximately } 0.67$$ , so $$\frac{2}{3}$$ is greater.

What is the principle of cross-multiplication?

Cross-multiplication is a method used to compare two fractions. You multiply the numerator of one fraction by the denominator of the other fraction. If the products are equal, the fractions are equal.

What is the relationship between $$\frac{6}{8}$$ and $$\frac{3}{4}$$ ?

$$\frac{6}{8}$$ is equivalent to $$\frac{3}{4}$$ because both represent the same value. You can simplify $$\frac{6}{8}$$ by dividing both the numerator and denominator by 2.

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 $$\frac{1}{4}$$ and $$\frac{1}{3}$$ , the common denominator is 12: $$\frac{3}{12} + \frac{4}{12} = \frac{7}{12}$$ .

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number). For example, in $$\frac{3}{5}$$ , 3 is the numerator and 5 is the denominator.

What does it mean if two fractions are improper?

An improper fraction is a fraction where the numerator is greater than or equal to the denominator. For example, $$\frac{5}{4}$$ is an improper fraction.

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 do 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.

What is the significance of the denominator in a fraction?

The denominator indicates how many equal parts the whole is divided into. For example, in $$\frac{3}{4}$$ , the denominator 4 means the whole is divided into 4 equal parts.

Topic 8 Equivalent Fractions and Comparing Fractions Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is an equivalent fraction?

Back

Tags

CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

2.

FLASHCARD QUESTION

Front

How do you find equivalent fractions?

Back

Tags

CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

3.

FLASHCARD QUESTION

Front

What does it mean to compare fractions?

Back

Comparing fractions means determining which fraction is larger, smaller, or if they are equal. This can be done by finding a common denominator or converting them to decimal form.

Tags

CCSS.4.NF.A.2

4.

FLASHCARD QUESTION

Front

How can you tell if two fractions are equal?

Back

Tags

CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

5.

FLASHCARD QUESTION

Front

What is a common denominator?

Back

A common denominator is a number that is a multiple of the denominators of two or more fractions. It allows you to compare or add fractions more easily.

Tags

CCSS.4.NF.B.4A

CCSS.4.NF.B.4B

6.

FLASHCARD QUESTION

Front

How do you convert a fraction to a decimal?

Back

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.4.NF.A.2

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