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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 1: Q.419 (page 92)

In the following exercises, Perform the indicated operation, $\frac{6 x}{25} 梅 \frac{9 y}{20}$

Short Answer

Expert verified

The simplified value of the given expression is $\frac{8 x}{15 y}$

Step by step solution

01

Step 1, Given information

The given expression is $\frac{6 x}{25} 梅 \frac{9 y}{20}$

02

Step 2. Perform division operation

if $a, b, c, d$ are numbers then localid="1643982940581" $\frac{a}{b} 梅 \frac{c}{d} = \frac{a}{b} 脳 \frac{d}{c}$

$\frac{6 x}{25} 梅 \frac{9 y}{20} = \frac{6 x}{25} 脳 \frac{20}{9 y}$

Reducing numerator and denominator

$\frac{6 x}{25} 脳 \frac{20}{9 y} = \frac{2 x}{5} 脳 \frac{4}{3 y} = \frac{8 x}{15 y}$

03

Step 3. Description of step.

Hence, the value of the given expression is $\frac{8 x}{15 y}$

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Most popular questions from this chapter

Fill in $<$ , $>$ or $=$ for each of the following pairs of numbers:

(a) localid="1644070592762" $- 9__- |- 9|$

(b) localid="1644070601216" $2__- |- 2|$

(c)localid="1644070617682" $- 8__|- 8|$

(d)localid="1644070630416" $- (- 9)__|- 9|$

In the following exercises, find the least common multiple of each pair of numbers using the prime factors method.

84, 90

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, by 3, by 5, by 6, and by 10.

896

Simplify $70 梅 10 + 4 (6 - 2)$ .

Evaluate: $4 x^{2} - x y + 5 y^{2}$ when $x = - 2, y = 3$ .

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