Hi student, let me help you out!
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<h3>Part 1 - Adding fractions with unlike denominators</h3>
If two fractions have unlike denominators, we first need to give both of them the same denominator, since we know how to add fractions with the same denominators.
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Here we have the following fractions:
.
First we should find the l.c.m. (least common multiple) of "8" and "2".
The l.c.m. of "8" and "2" is 8. Let's stick it in:
.
Now let us consider the following: <em>What did we multiply 2 by to get a result of 8?</em>
Since we multiplied 2 by 4 to obtain 8, we also multiply 1 by 4: 4.
As a result, we obtain
.
Now all we have to do is add the numerators.
<u>This is what we obtain as a result: </u>
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Notice that the answer is written as an improper fraction, a fraction such that the numerator is larger than the denominator.
Hope this helped you out, ask in comments if any queries arise.
Best Regards!
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