Chapter 7: Q. 412 (page 736)

In the following exercises, perform the indicated operations
$\frac{7}{5 a} + \frac{3}{2 b}$

Short Answer

Expert verified

The result is $\frac{14 b + 15 a}{10 a b}$

Step by step solution

Step 1. Given information

Expression:

\frac{7}{5 a} + \frac{3}{2 b}

Step 2. Find LCD

Denominator of first fraction is $5 a$

Denominator of the second fraction is $2 b$

here nothing is common between both denominator

So the LCD is $5 a \times 2 b = 10 a b$

Step 3. Rewrite each fraction as an equivalent fraction with the LCD

$\frac{7 \times 2 b}{10 a b} + \frac{3 \times 5 a}{10 a b}$

Step 4.Simplify the numerators.

$\frac{14 b}{10 a b} + \frac{15 a}{10 a b}$

Step 5. Add numerators of the fractions

$\frac{14 b + 15 a}{10 a b}$

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In the following exercises, perform the indicated operations
$\frac{7}{5 a} + \frac{3}{2 b}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find LCD

Step 3. Rewrite each fraction as an equivalent fraction with the LCD

Step 4.Simplify the numerators.

Step 5. Add numerators of the fractions

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In the following exercises, perform the indicated operations 75a+32b

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find LCD

Step 3. Rewrite each fraction as an equivalent fraction with the LCD

Step 4.Simplify the numerators.

Step 5. Add numerators of the fractions

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Logic and Functions

Statistics

Calculus

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In the following exercises, perform the indicated operations
$\frac{7}{5 a} + \frac{3}{2 b}$