logo
g Text Version
Beauty & Self
Books & Music
Career
Computers
Education
Family
Food & Wine
Health & Fitness
Hobbies & Crafts
Home & Garden
Money
News & Politics
Relationships
Religion & Spirituality
Sports
Travel & Culture
TV & Movies

dailyclick
Bored? Games!
Nutrition
Postcards
Take a Quiz
Rate My Photo

new
Houseplants
Romance Movies
Creativity
Family Travel
Southwest USA
Irish Culture
Home Finance


dailyclick
All times in EST

Full Schedule
g
g Math Site

BellaOnline's Math Editor

g

Fractions - Multiplying Fractions


You’ll be glad to know multiplying fractions do not require the same denominators. However, you’ll get the opportunity to practice your knowledge of multiplication facts.

Other Skills Needed:
Converting improper fractions to mix numbers
Converting mixed numbers to improper fractions
Reducing fractions

I. Steps for Multiplying Fractions
1) Multiply the numerators
2) Multiply the denominators
3) If necessary, reduce to the lowest terms

Example: ¾ X 6/8
1) Multiply the numerators: 3 X 6 = 18

2) Multiply the denominators: 4 X 8 = 32

Thus ¾ X 6/8 = 18/32

3) If necessary, reduce to the lowest terms
18/32 = 9/16
If needed, refer to the article, Reducing Fractions.
In summary, ¾ X 6/8 = 18/32 = 9/16


II. Steps for Multiplying Fractions With Mixed Numbers
1) Convert all mixed numbers to improper fractions
2) Multiply numerators
3) Multiply denominators
4) If necessary, reduce to the lowest terms


Example: 2 ¾ X 6/8
1) Convert mixed numbers to improper fractions
Multiply the whole number and the denominator. Then, add the numerator. The denominator remains the same.

2 ¾ = 2 x 4 + 3 = 11/4

Now, the problem reads: 11/4 X 6/8

2) Multiply numerators: 11 X 6 = 66

3) Multiply denominators: 4 X 8 = 32

Thus 11/4 X 6/8 = 66/32
4) If necessary, reduce to the lowest terms
Since, the numerator is larger than the denominator, it is considered an improper fraction. Convert to a mixed number.

66/32 =
The line between the 66 and 32 is called the fraction bar. The fraction bar denotes division. So read this number as 66 divided by 32. When you do the division, you get 2 with a remainder of 2. The 2 represents 2 wholes, let’s say 2 gigantic pizzas. The remainder indicates part of a whole (pizza). So, represent the remainder in fraction form.. Notice that the denominator remains the same.

Thus, 66/32 = 2 2/32 = 2 1/16

Note the fraction 2/32 had common factors and was reduced to 1/16.
In summary,
2 ¾ X 6/8 = 11/4 X 6/8 = 66/32 = 2 2/32 =
2 1/16


III. Steps for Multiplying Fractions and Whole Numbers
1) Change whole numbers to fractions
2) Multiply numerators
3) Multiply denominators
4) If necessary, simplify to the lowest terms

Example: 6/7 X 5
1) Change whole numbers to fractions: 5 = 5/1
Remember, one is the denominator for all whole numbers

2) Multiply numerators: 6 X 5 = 30

3) Multiply denominators: 7 X 1 = 7

Thus: 6/7 X 5 = 30/7

4) If necessary, simplify to the lowest terms

30/ 7 = 4 2/30 = 4 1/15
The above fraction 30/7 is an improper fraction and it is improper to leave it that way! So, 30 was divided by 7. The result is 4 remainder 2. Four represents the whole number and the remainder is represented as the fraction 2/30. …but we’re not finished! The numerator and denominator of 2/30 have factors in common. Therefore, the numerator and denominator were divided by the greatest common factor, 2, in this case, and the final result is 4 1/15.

In summary, 6/7 X 5 = 30/7 = 4 2/30 = 4 1/15.
Add Fractions+%2D+Multiplying+Fractions to Twitter Add Fractions+%2D+Multiplying+Fractions to Facebook Add Fractions+%2D+Multiplying+Fractions to MySpace Add Fractions+%2D+Multiplying+Fractions to Del.icio.us Digg Fractions+%2D+Multiplying+Fractions Add Fractions+%2D+Multiplying+Fractions to Yahoo My Web Add Fractions+%2D+Multiplying+Fractions to Google Bookmarks Add Fractions+%2D+Multiplying+Fractions to Stumbleupon Add Fractions+%2D+Multiplying+Fractions to Reddit




Multiplication Facts - Nine Timetables
GCF and LCM by Prime Factorization
Reducing Fractions
RSS
Related Articles
Editor's Picks Articles
Top Ten Articles
Previous Features
Site Map


For FREE email updates, subscribe to the Math Newsletter


Past Issues


print
Printer Friendly
bookmark
Bookmark
tell friend
Tell a Friend
forum
Forum
email
Email Editor


Content copyright © 2014 by Beverly Mackie. All rights reserved.
This content was written by Beverly Mackie. If you wish to use this content in any manner, you need written permission. Contact Beverly Mackie for details.

g


g features
Travel Games

Math MOOC - Free Online Math Courses - Self-Paced

Interactive App for Student Engagement

Archives | Site Map

forum
Forum
email
Contact

Past Issues
memberscenter


vote
Poetry
Daily
Weekly
Monthly
Less than Monthly



BellaOnline on Facebook
g


| About BellaOnline | Privacy Policy | Advertising | Become an Editor |
Website copyright © 2014 Minerva WebWorks LLC. All rights reserved.


BellaOnline Editor