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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 6 (page 651)

In the following exercises, simplify each rational expression.
$\frac{56}{63}$

Short Answer

Expert verified

The simplest form of the given expression is $\frac{8}{9} .$

Step by step solution

01

Step 1. Given information

The given expression is $\frac{56}{63}$

02

Step 2. Simplify

$\frac{56}{63} = \frac{7 \times 2 \times 2 \times 2}{7 \times 3 \times 3} Factorizenumeratoranddenominator = \frac{2 \times 2 \times 2}{3 \times 3} Removecommonfactorsofnumeratoranddenominator = \frac{8}{9} Simplify$

Hence,role="math" localid="1644989390619" $\frac{56}{63} = \frac{8}{9} .$

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Most popular questions from this chapter

In the following exercises, solve each rational inequality and write the solution in interval notation.

$\frac{1}{x^{2} - 16} < 0$

A pine tree casts a shadow of 80 feet next to a 30 foot tall building which casts a 40 feet shadow. How tall is the pine tree?

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See all solutions

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