Multiplying Fractions and Whole Numbers
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How to Multiply Fractions and Whole Numbers

Fractions Review ⚡️

      Fractions shows parts of a whole.

Key Point:

parts of a fraction

      Whole numbers don't have fractional parts, like 1, 2, and 10.

Key Point:

Multiplying Fractions and Whole Numbers

Let's say we have the fraction 3/5.

3/5

We want to multiply it with the whole number, 8.

8

How do we do that? 🤔

3/5 x 8 = ?

1️⃣ First, convert the whole number into a fraction.

Write the whole number 8 as 8/1.

3/5 x 8/1 = ?

Tip: We can add 1 as the denominator because dividing by 1 doesn't change a number's value. This is called the identity property of division

2️⃣ Now, multiply the numerators.

3/5 x 8/1 = ?

3️⃣ Then, multiply the denominators.

3/5 x 8/1 = 24/5

Our product is an improper fraction. It has a numerator greater than its denominator.

Let's convert it into a mixed number.

We do this by dividing the numerator by the denominator.

24/5 ➡️ 4 4/5

The remainder of our division, 4, is the numerator of the fraction part of the mixed number. 

3/5 x 8 = 4 4/5

Fantastic work. You just learned to multiply fractions with whole numbers.

Do you remember all the steps?

Try practice to and see.

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