Question 8
Write1/c+1/d-(c-d/cd)
as a single fraction in its simplest form
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(1/c) + (1/d) -[(c-d)/cd]
What we do is, to make it easier, let's go one at a time. We have to make the denominators like. For this, let's first take the LCM of the first two fractions.
The denominators are c and d. The LCM of c and d is cd.
Therefore, to make the denominators like, we multiply the numerator and denominator of the first fraction by d; and the numerator and denominator of the second by c.
We now have,
d/cd + c/cd - (c-d)/cd
Since all of the denominators are like, we can easily add the numerators.
We now have,
[d + c - c + d] / cd
= 2d/cd
= 2/c [since d cancels out]
I hope this helps.
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