Question

Question 8
Write1/c+1/d-(c-d/cd)

as a single fraction in its simplest form​

Answer 1

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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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