A fraction represents a part of a whole and is written as $$\frac{a}{b}$$ , where 'a' is the numerator and 'b' is the denominator.

How do you simplify a fraction?

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD). For example, $$\frac{4}{8} = \frac{4 \div 4}{8 \div 4} = \frac{1}{2}$$ .

What is the sum of $$\frac{2}{10}$$ and $$\frac{3}{10}$$ in simplest form?

The sum is $$\frac{5}{10} = \frac{1}{2}$$ .

What is the difference between a proper fraction and an improper fraction?

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 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 is the new numerator.

What is the process for adding mixed numbers?

To add mixed numbers, first add the whole numbers, then add the fractions. If the fraction sum is improper, convert it to a mixed number.

What is the result of $$3 \frac{1}{3} - 1 \frac{2}{3}$$ ?

The result is $$1 \frac{2}{3}$$ .

What is the importance of finding a common denominator when adding or subtracting fractions?

Finding a common denominator is crucial because it allows fractions to be combined accurately, ensuring that the parts being added or subtracted are equivalent.

Adding and Subtracting Fractions and Mixed Numbers with Regrouping Flashcards

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14 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 is a mixed number?

Back

Tags

CCSS.3.NF.A.3C

3.

FLASHCARD QUESTION

Front

How do you add fractions with the same denominator?

Back

Tags

CCSS.4.NF.B.3C

CCSS.4.NF.B.3D

4.

FLASHCARD QUESTION

Front

How do you subtract fractions with the same denominator?

Back

Tags

CCSS.4.NF.B.3C

CCSS.4.NF.B.3D

5.

FLASHCARD QUESTION

Front

What is the first step in adding fractions with different denominators?

Back

The first step is to find a common denominator, which is a multiple of both denominators.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

6.

FLASHCARD QUESTION

Front

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

Back

7.

FLASHCARD QUESTION

Front

What is regrouping in subtraction?

Back

Regrouping in subtraction involves borrowing from the next higher place value when the top digit is smaller than the bottom digit.

Tags

CCSS.2.NBT.B.7

CCSS.3.NBT.A.2

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