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.

Activity: Fraction Puzzle

Click to download

 

 

 

Found on the Web:

PowerPoint:

Multiply Fractions

Use Models to Multiply Fractions

Web Games:

Soccer Math

Soccer Shootout

Fraction's Math Games

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Notes

Figure This Challenge #56

  • Complete Solution will be given on May 17, 2015

Complete Solution:

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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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Fun Math Facts:

Math Limerick

Question: Why is this a mathematical limerick?

( (12 + 144 + 20 + 3 Sqrt[4]) / 7 ) + 5*11 = 92 + 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.

funfacts

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