Multiplying Whole Numbers by Fractions Explained

In this video tutorial, Matt from Mr. J's class demonstrates how to multiply a whole number by a fraction. The example used is 7 times four-fifths. Matt first converts the whole number into a fraction, allowing for straightforward multiplication across numerators and denominators. The result is an improper fraction, which is then converted into a mixed number. The video concludes with a quick review and a prompt to check the description for more detailed explanations.

What is the first step in multiplying a whole number by a fraction?

• Subtract the fraction from the whole number.

• Convert the whole number to a decimal.

• Rewrite the whole number as a fraction.

• Add the whole number to the fraction.

Tags

CCSS.4.NF.B.4B

CCSS.4.NF.B.4C

What is the result of multiplying 7 by 4/5?

• 28/5

• 7/5

• 4/5

• 35/5

Tags

CCSS.4.NF.B.4B

CCSS.4.NF.B.4C

How do you convert 28/5 to a mixed number?

• Divide 28 by 5 and write the remainder as a fraction.

• Subtract 5 from 28 and write the result as a fraction.

• Multiply 28 by 5 and write the result as a fraction.

• Add 28 and 5 and write the result as a fraction.

What is the mixed number form of 28/5?

• 5 and 3/5

• 6 and 1/5

• 7 and 2/5

• 4 and 4/5

What is the remainder when 28 is divided by 5?

• 4

• 1

• 2

• 3

Tags

CCSS.4.NBT.B.6