4.5 Simplest Form of a Fractions

Simplest Form of a Fractions

Simplest Form

​if a numerator and denominator have a common factor, then we cancel it out

Example! 

Match

Match of the following with the simplest form:

• $$\frac{36}{27}$$

• $$\frac{256}{304}$$

• $$\frac{4800}{12000}$$

• $$\frac{1260}{1008}$$

• $$\frac{4}{3}$$

• $$\frac{16}{19}$$

• $$\frac{2}{5}$$

• $$\frac{5}{4}$$

Fill in the Blanks

Compute the following. Express your answer in simplest form.

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

Fill in the Blanks

Compute the following. Express your answer in simplest form.

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

Fill in the Blanks

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

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

Fill in the Blanks

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

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

Math Response

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

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

Type answer here

Correct Answer: 2a^2

Deg^°

Rad

Math Response

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

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

Type answer here

Correct Answer: \frac{1}{2ab}

Deg^°

Rad

Math Response

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

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

Type answer here

Correct Answer: \frac{2x^2}{3y^3}

Deg^°

Rad

Math Response

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.

Type answer here

Correct Answer: \frac{1}{4}

Deg^°

Rad

Math Response

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

Type answer here

Correct Answer: \frac{3}{2}

Deg^°

Rad