** Divide by Fractions**

We will divide whole numbers by fractions.**Examples**:**1).**

**Step 1:** When dividing a whole number by a fraction change the whole number to a fraction by placing it over 1.

**Step 2:** Use KCF (Keep, Change, and Flip) when dividing fractions. Keep 6/1, change division to multiplication, and Flip 1/3 to 3/1.

**Step 4:** Multiply numerators, 6 x 3= 18 and multiply denominators, 1 x 1= 1 and simplify if needed.

We will divide fractions.

**2).**

**Step 1:** Use KCF (Keep, Change, and Flip)

when dividing fractions. Keep 1/4, change division to multiplication, and flip 3/8 to 8/3.

**Step 2**: Multiply numerators, 1 x 8=8 and multiply denominators, 4 x 3=12.

**Step 3**:Simplify using GCF

Find GCF:

Factors of 8 :**1**,**2**,**4**, and 8

Factors of 12:**1**,**2**,3,**4**,,6, and 12** **

Common factors of 8 and 12: **1**,**2**, and **4**. Although all bold numbers are common factors of 8 and 12, **4 is the greatest common factor. We divide the numerator and denominator by 4.**

We will divide mixed numbers

**3).**

**Step 1:** First, we need to change both mixed numbers to improper fractions.

** ** **Step 2:**Use KCF (Keep, Change, and Flip) when dividing fractions. Keep 21/5, change division to multiplication, and flip 7/3 to 3/7.

Step 3: Multiply numerators, 21 x 3= 63 and multiply denominators, 5 x 7=35.

Step 4: Simplify using GCF

Find GCF.

Factors of 63: **1**, 3, **7**, 9, 21, and 63

Factors of 35: **1**, 5, **7**, and 35. Although all bold numbers are common factors of 63 and 35. **7 is the greatest common factor. We divide the numerator and denominator by 7.**

**Step 3:** We have to change the improper fraction 9/5 to a mixed number. 5 can go evenly into 9 only once with a remainder of 4. The denominator does not change. 1 is the whole number and the remainder 4 is the numerator.

Videos:

How to Divide Whole Numbers by Fractions - The best home videos are here

**Found on the Web:**

**Activity:** **Fraction Circles: Dividing Fractions and Mixed Numbers by Whole Num...**

**PowerPoint:**

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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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