How do you multiply a mixed number by a whole number?

Convert the mixed number to an improper fraction, then multiply.

What is the first step in multiplying mixed numbers?

Convert them to improper fractions.

What is $$\frac{3}{4} \times 2$$ ?

$$\frac{3 \times 2}{4} = \frac{6}{4} = 1 \frac{1}{2}$$ .

What is $$\frac{5}{6} \times 3$$ ?

$$\frac{5 \times 3}{6} = \frac{15}{6} = 2 \frac{1}{2}$$ .

What is $$1 \frac{1}{2} \times 3$$ ?

$$\frac{3 \times (1 \times 2 + 1)}{2} = \frac{3 \times 3}{2} = 4 \frac{1}{2}$$ .

What is the result of multiplying two mixed numbers?

Convert both to improper fractions, multiply, and simplify if necessary.

What is the importance of converting mixed numbers to improper fractions before multiplication?

It simplifies the multiplication process and avoids errors.

Multiply Mixed Numbers Practice Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Before you can multiply mixed numbers you must:

Back

Turn them into improper fractions.

2.

FLASHCARD QUESTION

Front

How do you convert a mixed number to an improper fraction? For example, convert 5 1/6.

Back

Multiply the denominator and the whole number then add the numerator: 6×5 + 1 = 31, so 5 1/6 = 31/6.

3.

FLASHCARD QUESTION

Front

Back

6.

Tags

CCSS.4.NF.B.4B

CCSS.4.NF.B.4C

4.

FLASHCARD QUESTION

Front

Back

2 6/10.

Tags

CCSS.4.NF.B.4B

CCSS.4.NF.B.4C

5.

FLASHCARD QUESTION

Front

Back

6 2/3.

Tags

CCSS.4.NF.B.4B

CCSS.4.NF.B.4C

6.

FLASHCARD QUESTION

Front

What is a mixed number?

Back

A number that consists of a whole number and a proper fraction.

Tags

CCSS.3.NF.A.3C

7.

FLASHCARD QUESTION

Front

What is an improper fraction?

Back

A fraction where the numerator is greater than or equal to the denominator.

Tags

CCSS.3.NF.A.3C

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