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Q9.

Expert-verified
Found in: Page 274

### Pre-algebra

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

# Write the fraction in simplest form.$\frac{{a}^{3}{b}^{2}{c}^{2}}{b{c}^{2}}$

The simplest form of $\frac{{a}^{3}{b}^{2}{c}^{2}}{b{c}^{2}}$ is ${a}^{3}b$ .

See the step by step solution

## Step 1 .Given

The given fraction is$\frac{{a}^{3}{b}^{2}{c}^{2}}{b{c}^{2}}$ .

## Step 2 . To determine

We have to convert the fraction in the simplest form

## Step 3 . Calculation

We factor the numerator and denominator completely. Then we cancel the common terms.

$\begin{array}{c}\frac{{a}^{3}{b}^{2}{c}^{2}}{b{c}^{2}}=\frac{a\cdot a\cdot a\cdot b\cdot b\cdot c\cdot c}{b\cdot c\cdot c}\\ {\text{=a}}^{3}\text{b}\end{array}$

So, the simplest form of $\frac{{a}^{3}{b}^{2}{c}^{2}}{b{c}^{2}}$ is ${a}^{3}b$ .