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Q15.

Expert-verified
Found in: Page 220

### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

# Simplify $\frac{16{a}^{2}}{22a}$

$\frac{\mathbf{8}{\mathbf{a}}^{\mathbf{2}}}{\mathbf{11}}$ is the simplest form of $\frac{16{a}^{3}}{22a}$.

See the step by step solution

## Step 1. Given information

Consider, the fraction $\frac{16{a}^{3}}{22a}$ provided in the question.

## Step 2. Calculation

To obtain the simplest form of the fraction $\frac{16{a}^{3}}{22a}$, it is needed to factor the numerator and denominator of provided fraction and divide out the common factors

Therefore, the obtained expression as:

$\begin{array}{l}\frac{16{a}^{3}}{22a}=\frac{2×2×2×2×a×a×a}{2×11×a}\\ \frac{16{a}^{3}}{22a}=\frac{8{a}^{2}}{11}\end{array}$

Hence, $\frac{8{a}^{2}}{11}$ is the simplest form of $\frac{16{a}^{3}}{22a}$