When it comes to working with algebraic fractions and applying the four operations, the process is exactly the same as when we worked with numeric fractions.
Let's have a look at a simple example of multiplying two numerical fractions.
Simplify the following: \dfrac{b}{q}\times \dfrac{k}{u}
Simplify \dfrac{3y}{8}\times \dfrac{4y}{9}.
The product of two fractions is the product of their numerators divided by the product of their denominators. \frac{A}{B}\times \frac{C}{D}= \frac{A\times C}{B\times D}
Before multiplying two fractions together, look for common factors that you can cancel out first. This will make the resulting multiplication easier in most cases, as there will be less factors to deal with.
Again, the process for dividing is the same as when we divided numeric fractions.
Simplify \dfrac{9u}{36v}\div \dfrac{7v}{36u}.
To divide by a fraction, multiply by the reciprocal. \dfrac{A}{B} \div \dfrac{C}{D}=\dfrac{A}{B} \times \dfrac{D}{C}