** Multiply Fractions**

**We will multiply fractions and whole numbers.**

**Examples:**

1).

**Step 1:** When multiplying fractions by whole numbers, we change the whole number to a fraction by placing it over 1.

**Step 2:** Multiply the numerators and denominators. 2x6=12 and 3x1=3

** Step 3:** Simplify 12/3=4

**We will multiply fractions.**

2).

**Step 1:** Multiply the numerators and denominators: 3 x 5=15 and 10 x 6=60

**Step 2:** Simplify using GCF

Find GCF:

Factors of 15: **1**,**3**,5, and **15**

Factors of 60:**1**,2,**3**,4,5,6,10,12,**15**,20,30, and 60

Common factors of 15 and 60: **1**,**3**, and **15**. Although all bold numbers are common factors of 15 and 60, **15 is the greatest common factor.**

**We will multiply whole numbers by mixed numbers.**

3).

**Step 1:** Change the mixed number to an improper fraction: multiply denominator times whole number 2x2=4 and add the

numerator: 4 +1=5. Place 5 over 2.

**Step 2:** Multiply the numerators and denominators: 2 x 5=10 and 3 x 2=6.

**Step 3**: Simplify using GCF.

Find GCF:

Factors of 10: **1**,**2**,5, and 10

Factors of 6: **1**, **2**,3, and 6

Common factors of 10 and 6: **1** and **2**. Although all bold numbers are common factors of 10 and 6, 2 is the greatest common factor. Therefore, to simplify we need to divide the numerator and denominator by 2.

Step 4: We need to convert the improper fraction to a mixed number. To do this we determine how many times 3 can go evenly into 5. 3 can go evenly into 5 only once with a remainder of 2. Therefore, our whole number is 1 and our numerator is our remainder of 2. Our denominator will remain the same.

PowerPoint:

**Use Models to Multiply Fractions**

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Created by Wanda Collins May 10, 2015 at 1:56pm. Last updated by Wanda Collins May 10, 2015.

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Question: Why is this a mathematical limerick?

( (12 + 144 + 20 + 3 Sqrt[4]) / 7 ) + 5*11 = 9^{2} + 0 .

Answer:

A dozen, a gross, and a score,

plus three times the square root of four, divided by seven, plus five times eleven, is nine squared and not a bit more.

---Jon Saxton (math textbook author)

**Presentation Suggestions:**

Challenge students to invent their own math limerick!

**The Math Behind the Fact:**

It is fun to mix mathematics with poetry.

**Resources:**

Su, Francis E., et al. "Math Limerick." Math Fun Facts.

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