Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 5: Problem 12

Express \(\frac{1}{s}+\frac{1}{s^{2}}\) as a single fraction.

Short Answer

Expert verified
Question: Combine the two fractions \(\frac{1}{s}\) and \(\frac{1}{s^{2}}\) into a single fraction. Answer: \(\frac{s+1}{s^2}\)

Step by step solution

01

Find the common denominator

The common denominator must be a multiple of both denominators, \(s\) and \(s^2\). Since \(s^2\) is a multiple of \(s\), the least common denominator (LCD) is \(s^2\).
02

Express both fractions with the common denominator

Now, we need to rewrite each fraction with the LCD (\(s^2\)) as the denominator. For the first fraction, we multiply both the numerator and denominator by \(s\) to get \(\frac{1}{s}\cdot\frac{s}{s}=\frac{s}{s^2}\). The second fraction already has the common denominator, so it remains the same: \(\frac{1}{s^2}\)
03

Add the fractions

Since the fractions now have a common denominator of \(s^2\), we can add the numerators together and keep the denominator the same. So, \(\frac{s}{s^2}+\frac{1}{s^2}=\frac{s+1}{s^2}\) The combined single fraction for the given expression is \(\frac{s+1}{s^2}\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Remove the brackets from the given expression: \((x+2)(x-2)\)

Remove the square brackets from $$ \frac{1}{\omega}\left[\frac{s \omega}{s^{2}+\omega^{2}}-s\right] $$

Find the value of \(5(8+3)-2(-3-6)\).

Remove the brackets from the given expression: \((x+1)(x-3)(x-1)\)

Add \(\frac{2}{7}\) and \(\frac{1}{5}\) without using a calculator.
See all solutions

Recommended explanations on Physics Textbooks

Electromagnetism

Read Explanation

Electric Charge Field and Potential

Read Explanation

Fundamentals of Physics

Read Explanation

Torque and Rotational Motion

Read Explanation

Magnetism and Electromagnetic Induction

Read Explanation

Solid State Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free