One way to solve this problem
is the following:
Step 1: Since
the fractions we are adding don't have common denominators,
we must find the common denominator in order to
be able to add these fractions. To do this we need
to find the LCM of 4 and 7.
- 4 - 4, 8, 12, 16, 20, 24,
28
- 7 - 7, 14, 21, 28
The LCM or common denominator will be 28.
Step 2: Change our
fractions to equivalent fractions with the common
denominator of 28.
- 4x4 / 7x4 = 16/28
- 3x7 / 4x7 = 21/28
Step 3: Now
we can add our fractions.
16/28 + 21/28 = 37/28
Step 4: Since
our choices as a fraction are not available we
want to rewrite our answer as a mixed number, 1
9/28. Therefore, the correct answer is letter A.
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