Chapter 5: Q17. (page 220)

Simplify
$\frac{27 m^{2}}{45 m^{2}}$

Short Answer

Expert verified

$\frac{3 m^{2}}{5}$ is the simplest form of $\frac{27 m^{4}}{45 m^{2}}$ .

Step by step solution

Step 1. Given information

Consider, the fraction $\frac{27 m^{4}}{45 m^{2}}$ provided in the question

Step 2. Calculation

To obtain the simplest form of the fraction $\frac{27 m^{4}}{45 m^{2}}$ , it is needed to factor the numerator and denominator of provided fraction and divide out the common factors

Therefore, the obtained expression as:

$\begin{array}{l} \frac{27 m^{4}}{45 m^{2}} = \frac{3 \times 3 \times 3 \times m \times m \times m \times m}{3 \times 3 \times 5 \times m \times m} \\ \frac{27 m^{4}}{45 m^{2}} = \frac{3 m^{2}}{5} \end{array}$

Hence,

$\frac{3 m^{2}}{5}$ is the simplest form of $\frac{27 m^{4}}{45 m^{2}}$

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Simplify
$\frac{27 m^{2}}{45 m^{2}}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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Simplify
$\frac{27 m^{2}}{45 m^{2}}$