Chapter 11: Q. 422 (page 1069)

In the following exercises, perform the indicated operations .
$\frac{5}{x^{2} y} + \frac{7}{20 x y^{3}}$

Short Answer

Expert verified

Simplified expression is $\frac{100 y^{2} + 7 x}{20 x^{2} y^{3}}$

Step by step solution

Step 1. Given expression

$\frac{5}{x^{2} y} + \frac{7}{20 x y^{3}}$

Step 2. Find LCD

Denominator of the first fraction is $x^{2} y$

Denominator of the second fraction $20 x y^{3}$

Here is common to both denominators

So LCD is $20 x^{2} y^{3}$

Step 3. Rewrite each rational expression as an equivalent rational expression with the LCD

$\frac{5 \cdot 20 y^{2}}{20 x^{2} y^{3}} + \frac{7 x}{20 x^{2} y^{3}}$

Step 4. Simplify and Add numerators

$\frac{100 y^{2} + 7 x}{20 x^{2} y^{3}}$

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In the following exercises, perform the indicated operations .
$\frac{5}{x^{2} y} + \frac{7}{20 x y^{3}}$

Short Answer

Step by step solution

Step 1. Given expression

Step 2. Find LCD

Step 3. Rewrite each rational expression as an equivalent rational expression with the LCD

Step 4. Simplify and Add numerators

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In the following exercises, perform the indicated operations .5x2y+720xy3

Short Answer

Step by step solution

Step 1. Given expression

Step 2. Find LCD

Step 3. Rewrite each rational expression as an equivalent rational expression with the LCD

Step 4. Simplify and Add numerators

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Discrete Mathematics

Geometry

Calculus

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

In the following exercises, perform the indicated operations .
$\frac{5}{x^{2} y} + \frac{7}{20 x y^{3}}$