4.5 Simplest Form of a Fraction

Match of the following with the simplest form:

Compute the following. Express your answer in simplest form.

$$\frac{24}{80}\cdot\frac{28}{49}$$

(a)  

Compute the following. Express your answer in simplest form.

$$\frac{88}{34}\div\frac{44}{51}$$

(a)  

Compute each of the following. Express your answer in simplest form.

$$\left(-\frac{84}{125}\right)\cdot\frac{100}{63}$$

(a)  

Compute each of the following. Express your answer in simplest form.

$$\frac{400}{39}\div\frac{1300}{9}$$

(a)  

Simplify the following fractions, assuming that a, b, m, and p are nonzero:

$$\frac{4a^3b}{2ab}$$

Simplify the following fractions, assuming that a and b are nonzero:

$$\frac{2a^3}{4a^4b}$$

Simplify the following fractions, assuming that a, b, x, and y are nonzero:

$$\frac{8x^7y^{12}}{12x^5y^{15}}$$

Express the product $$\frac{3}{4}\cdot\frac{4}{5}\cdot\frac{5}{6}\cdot\frac{6}{7}\cdot\frac{7}{8}\cdot\frac{8}{9}\cdot\frac{9}{10}\cdot\frac{10}{11}\cdot\frac{11}{12}$$ in simplest form.

Evaluate $$\frac{42x^3y^6}{35x^2y^6}$$ when $$x=\frac{5}{4}$$ and $$y=\frac{2012}{2013}$$ $$\frac{3}{2}$$ .