Question

How to multiply and divide algebraic fractions

Answer 1

Answer:

Step-by-step explanation:

Multiplying two algebraic fractions produces a new algebraic fraction. Multiply the two numerators to get the new numerator and multiply the two denominators to get the new denominator. Then simplify by reducing the new fraction to lowest terms.

for example:

$\frac{x}{y}$×$\frac{a}{b}$ = $\frac{xa}{yb}$

Division of algebraic fractions

The procedure for dividing algebraic fractions is the same as the procedure for dividing common fractions.  Replace the division by a fraction by the multiplication by the reciprocal of that fraction, like this. Then carry out the multiplication of the two fractions as described above.

for example:

$\frac{\frac{a}{b} }{\frac{x}{y} }$

can be written as

$\frac{a}{b}$×$\frac{x}{y}$= $\frac{ax}{by}$

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