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Pre-algebra

Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

$Math Studyset 91影视 Explanations$ Math

Common Core Edition 路 183 pages

ISBN: 9780547587776

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

01

Step 1. Given information

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

02

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:

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

Hence,

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

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