Addition of
Fractions

Reduce
the fractions to their simplest form, reduce the resulting fractions to their
common denominator and then add the numerators together. If the numbers are given
as whole numbers plus a fraction, add the whole numbers and fractions each
separately and then reduce the result.

Examples

(1)
Find the sum of , of and

The
sum is expressed as: .

Following
all the rules strictly, Macdonald takes the long route to find the common
denominator with the calculation:

.

The
easier route is to add terms with common denominators first and then simply:

.

(2)
Find the sum of , and .

Add
the whole numbers: .

Add
the fractions: .

The
sum is .