Rules -for-adding-multiplying.html">Multiplying Fractions
Rules:
1. Change mixed fractions to improper fractions. (Mixed fractions are
numbers that
include both a fraction and a whole number. i.e.
):
a. Multiply the denominator (bottom number of the
fraction) by the connected
whole number.
b. Add the product to the numerator (top number) to get the new numerator.
c. Keep the original denominator.
d. For mixed fraction 
, multiply 3 x 2 = 6,
add 6 + 1 = 7 = new numerator.
The improper fraction is 
.
2. Multiply the numerators to find the numerators in the
final product.
3. Multiply the denominators to find the denominator in
the final product.
4. Reduce the product to its simplest terms . Some reducing
may also be done
before multiplying the top and bottom of the fractions (see method 2 be low ).
Dividing Fractions
Rules:
1. Change mixed fractions to improper fractions. (Mixed fractions are
numbers that
include both a fraction and a whole number. i.e.
):
a. Multiply the denominator (bottom number of the
fraction) by the connected
whole number.
b. Add the product to the numerator (top number) to get the new numerator.
c. Keep the original denominator.
d. For mixed fraction 
, multiply 3 x 2 = 6,
add 6 + 1 = 7 = new numerator.
e. The improper fraction is 
.
2. Invert the second fraction in the problem (the
divisor).
3. Multiply the numerators to find the numerators in the
final product.
4. Multiply the denominators to find the denominator in
the final product.
5. Reduce the product to its simplest terms. Some reducing
may also be d one before
multiplying the top and bottom of the fractions (see method 2 under Multiplying
Fractions).
Example:
Review:
Check your answers with the key below. If you missed more
than two problems , review this
paper again, looking for where you may have made a mistake. If you still have
trouble with
this concept, you may need to enroll in a basic math class, such as the OWATC
Math 1
class.
Key:
