Multiplying Fractions
Of all the operations involving fractions, multiplying is probably the easiest.
All you need to do is to change any mixed numbers into improper fractions, multiply the numerators, multiply the denominators
and then simplify the result.
Lets look at an example: ½ x ¼
Lets try another:
Change mixed numbers into improper fractions
Multiply the numerators and denominators
And simplify
When multiplying, you can simplify before calculating if any numerator and denominator have common factors
The 5 and 10 have a common factor of 5, divide both by 5
The 2 and 32 have a common factor of 2, divide both by 2
Now the 16 and the 2 have a common factor of 2, divide by 2
This method of simplifying the fractions before doing any calculations can greatly reduce the time and effort required and you will find that most questions can be simplified first. Look at another example:
Change mixed numbers into improper fractions
Simplify (cancel out) 15 and 9 by dividing by 3
Simplify (cancel out) 24 and 8 by dividing by 8
Simplify (cancel out) 3 and 3 by dividing by 3
Multiply the numerators and denominators
This method is worth persevering with as once your child gets the hang of it, it can really speed up calculations and save time in the exam.
Try this Fraction Multiplication Worksheet and
Multiplying Fractions Quiz from Dr. Mike
