HELP PLEASE URGENT

[thorny stag]

How do I add and subtract these fractions?

[lapis dune]

You can subtract the fractions by normalizing the denominator.

This can be done by finding the least common multiple.

That is the smallest number that shares the factors of both numbers.

If one of the denominators are prime, it is a*b where a and b there the denominators.

Let me give you an example:

$\frac{2}{3} + \frac{5}{6} = \frac{22}{32} + \frac{5}{6} = \frac{4}{6} + \frac{5}{6} = \frac{4+5}{6} = \frac{9}{6} = \frac{3}{2}$

[quaint sail]

femboy

[lapis dune]

If you want a more generalized example:

$\frac{p_1}{p_2}+\frac{q_1}{q_2} = \frac{\mathrm{gcc}(p_2, q_2)p_1}{\mathrm{gcm}(p_2, q_2)}+\frac{\mathrm{gcc}(p_2, q_2)q_1}{\mathrm{gcm}(p_2, q_2)}$ which will nicely normalize the denominator,