Answer :

TSO
When you add fractions, you NEED to have the same denominator.

When you divide fractions, you do NOT need to have the same denominator.

[tex]\frac{a}{c} + \frac{b}{c} = \boxed{\bf{\frac{a+b}{c}}}[/tex]

[tex]\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \boxed{\bf{\frac{ad}{bc}}}[/tex]

a, b, c, and d are variables. You can replace them with any number.
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adding and dividing fractions:

To add (and subtract) fractions, we need the same denominator. If both fractions that you are adding (or subtracting) do not have the same denominator, you will have to find the least common denominator of both of them.
If the fractions are:
[tex] \frac{2}{3} [/tex] + [tex] \frac{1}{2} [/tex]
3 × 1 = 3                              2 × 1 = 2
3 × 2 = 6                              2 × 2 = 4
                                            2 × 3 = 6
The least common denominator is 6
[tex] \frac{2*2}{3*2} [/tex] + [tex] \frac{1*3}{2*3} [/tex]
[tex] \frac{4}{6} + \frac{3}{6} [/tex] = [tex] \frac{7}{6} [/tex] or [tex] 1\frac{1}{6} [/tex]

For diving fractions, you do not need common denominators
You can multiply the first fraction by the second fraction's reciprocal.
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