Chapter 8: Q 242 (page 954)

Add $\frac{3}{20 a^{2}} + \frac{11}{12 a b^{2}}$ .

Short Answer

Expert verified

The sum is $\frac{9 b^{2} + 55 a}{60 a^{2} b^{2}}$ .

Step by step solution

Given Information

The Given expression is $\frac{3}{20 a^{2}} + \frac{11}{12 a b^{2}}$ .

Find the LCD of denominators.

Factor the denominators.

$20 a^{2} = 2 \cdot 2 \cdot 5 \cdot a \cdot a 12 a b^{2} = 2 \cdot 2 \cdot 3 \cdot a \cdot b \cdot b$

LCD $= 2 \cdot 2 \cdot 5 \cdot 3 \cdot a \cdot a \cdot b \cdot b = 60 a^{2} b^{2}$

Rewrite each fraction as an equivalent fraction with the LCD.

$= \frac{3 (3 b^{2})}{20 a^{2} (3 b^{2})} + \frac{11 (5 a)}{12 a b^{2} (5 a)}$

$= \frac{9 b^{2}}{60 a^{2} b^{2}} + \frac{55 a}{60 a^{2} b^{2}}$

Add

Take common denominator.

$= \frac{9 b^{2} + 55 a}{60 a^{2} b^{2}}$

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Add $\frac{3}{20 a^{2}} + \frac{11}{12 a b^{2}}$ .

Short Answer

Step by step solution

Given Information

Find the LCD of denominators.

Rewrite each fraction as an equivalent fraction with the LCD.

Add

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Add320a2+1112ab2.

Short Answer

Step by step solution

Given Information

Find the LCD of denominators.

Rewrite each fraction as an equivalent fraction with the LCD.

Add

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Logic and Functions

Theoretical and Mathematical Physics

Probability and Statistics

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Add $\frac{3}{20 a^{2}} + \frac{11}{12 a b^{2}}$ .