Multiply Fractions

We will multiply fractions and whole numbers.



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.


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.


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:


Multiply Fractions

Use Models to Multiply Fractions

Web Games:

Soccer Math

Soccer Shootout

Fraction's Math Games

Views: 4412


You need to be a member of Math Concentration to add comments!

Join Math Concentration

Advertising Information

If you represent a company and would like advertising, sponsorship, or promotions information, CLICK HERE to request our media kit.

Make a Difference

Please support our community of students, parents, and teachers or caregivers who all play vital roles in the homework process by contributing whatever you can to keep our site alive :)



Figure This Challenge #56

  • Complete Solution will be given on May 17, 2015

Complete Solution:



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

Math Homework Help Online

Professional math homework help get your math solved today.

Do you need help with math homework? Our reliable company provides only the best math homework help.

Try best college paper writing service to get the best custom essays for affordable prices

Fun Math Facts:

Math Limerick

Question: Why is this a mathematical limerick?

( (12 + 144 + 20 + 3 Sqrt[4]) / 7 ) + 5*11 = 92 + 0 .


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.


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


Pre-K, Kindergarten, First, Second, Third, Fourth, Fifth, Sixth, Seventh, Eighth, Ninth, Tenth, Eleventh, Twelfth, Higher Education, Adult Education, Homeschooler -


  • Add Photos
  • View All



   Very Good