Chapter 6: Q8. (page 274)

Write the fraction in simplest form.
$\frac{14 x^{2} y^{3}}{35 x y^{2}}$

Short Answer

Expert verified

The simplest form of $\frac{14 x^{2} y^{2}}{35 x y^{2}}$ is $\frac{2 x y}{5}$ .

Step by step solution

. Given

The given fraction is $\frac{14 x^{2} y^{2}}{35 x y^{2}}$ .

. To determine

We have to convert the fraction in the simplest form.

. Calculation

The common factor of $14 x^{2} y^{2}$ and $35 x y^{2}$ is = $7 x y^{2}$ . So, we will divide both numerator and denominator by $7 x y^{2}$ $7 x y^{2}$ .

$\begin{array}{l} \frac{14 x^{2} y^{2}}{35 x y^{2}} \\ = \frac{14 x^{2} y^{3} \div 7 x y^{2}}{35 x y^{2} \div 7 x y^{2}} [divideboththenumeratoranddinomeratorwith7 x y^{2}] \\ = \frac{2 x y}{5} \end{array}$

So, the simplest form of $\frac{14 x^{2} y^{2}}{35 x y^{2}}$ is $\frac{2 x y}{5}$ .

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Write the fraction in simplest form.
$\frac{14 x^{2} y^{3}}{35 x y^{2}}$

Short Answer

Step by step solution

. Given

. To determine

. Calculation

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Write the fraction in simplest form.14x2y335xy2

Short Answer

Step by step solution

. Given

. To determine

. Calculation

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Most popular questions from this chapter

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Write the fraction in simplest form.
$\frac{14 x^{2} y^{3}}{35 x y^{2}}$