Example 1
In this example the common dominator is 12 and both original
fractions had to be converted. We have to apply the conversion
operation to both the numerator and the denominator in order for the
new fraction to be equivalent. We could simplify this fraction to make it 5/6.

Example 2
In this example, we already
have a common
denominator. We only have
to add the two numerators together to
get the solution.

Example 3
In this example, we
were able to get the
common denominator
(8) by converting just 1 fraction. We could
simplify this fraction to make it 3/4.

Example 4
This example is a bit more complicated because we are
adding 3 fractions together. However, the only
difference is that we have to convert 3 fractions and
add 3 numerators together to get the answer.

Example 1
In this example, we convert the first fraction so
that it has the common denominator (9) before
subtracting the second fraction from it.

Example 2
In this example, we have the 3 fractions
in the expression. Fractions 2 and 3 are
subtracted from fraction one after they
have been converted to have the common denominator (8).

Example 1
In this example, the
numerators and
denominators
were times together to get the answer
which was then simplified. (Remember
to always try to cancel instead of
simplifying as it is easier.)

Example 2
In this example, the numerators
and denominators were again
multiplied. However, this time we
are unable to cancel or simplify as the fraction
is already i its simplest form.

Example 1
In this
division
example, we
invert the second fraction and then multiply
the numerators and denominators. Finally
we simplify it. (Always try to cancel when
doing multiplication questions.)

Example 2
In this example,
we have again
inverted the
second fraction and multiplied both fractions
together. As a result we have gotten a mixed
number (or improper fraction). The solution was
already in its simplest form so we are unable to
cancel or simplify.

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Chapter 3.2: Learning Outcomes
Students will be able to add and subtract fractions by finding a common
denominator!
Students will be able to multiply and divide fractions!
Students will know how to deal with mixed numbers and improper
fractions when calculating with fractions!

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