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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 7: Q4. (page 243)

Express the ratio in simplest form.
$\frac{n^{2}}{4 n}$

Short Answer

Expert verified

$\frac{n}{4}$

Step by step solution

01

Step 1. Given information.

The given ratio is

$\frac{n^{2}}{4 n}$

02

Step 2. Concept Used.

To write the fraction in simplest form, divide the numerator and denominator with the GCF (Greatest Common Factor).

03

Step 3. Now find the GCF.

Write the prime factors of numerator and denominator.

$\begin{array}{l} n^{2} = n 脳 n \\ 4 n = 4 脳 n \end{array}$

Here GCF is n.

04

Step 4. Let’s divide the numerator and denominator with the GCF.

Here we will divide the numerator and denominator by.n

$\frac{n^{2}}{4 n} = \frac{n^{2} / n}{4 n / n} = \frac{n}{4}$

Therefore, the simplest form of the given ratio is $\frac{n}{4}$ .

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Most popular questions from this chapter

complete each statement.

If $\frac{a}{4} = \frac{b}{7},$ then $\frac{a}{b} = \frac{?}{?}$

Find the value of x.

$\frac{x + 4}{x 鈭� 4} = \frac{6}{5}$

Three numbers aren鈥檛 known, but the ratio of the numbers is $1 : 2 : 5$ . Is it possible that the numbers are $1, 2,$ and5. $10, 20,$ and $50 ?$ $3, 6,$ and $20 ?$ $x, 2 x,$ and $5 x ?$

$x = 12, y = 10, a n d z = 24$ .Write each ratio in simplest form.

$ztox$

Complete the statement.

If $\frac{n}{p} = \frac{q}{r} = \frac{7}{9}$ , then $\frac{n + q + 7}{p + r + 9} = \frac{?}{?}$

See all solutions

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