girl-logo

Ask Questions

Question

Welch Pearson

01/06/2024 · Junior High School

3) Which is the reciprocal of the expression (3x-y)/5

Answer
expertExpert-Verified Answer

Schultz Kelly
Experienced Tutor
4.0 (46votes)

\(\frac { 5} { 3x - y} \)

 

Solution

  1. The reciprocal of a fraction \(\frac { a} { b} \) is \(\frac { b} { a} \).
  2. Apply this to the given expression \(\frac { 3x - y} { 5} \).
  3. The reciprocal is \(\frac { 5} { 3x - y} \).

 

Supplemental Knowledge

The reciprocal of a number or expression is what you multiply by to get 1. For a fraction \(\frac { a} { b} \), the reciprocal is \(\frac { b} { a} \). This concept extends to algebraic expressions as well.

 

Everyday Examples

Reciprocals can come in handy in numerous real-life applications, from calculating rates and unit conversion to solving equations and equation solving. Knowing speed (distance/time), for instance, provides us with time per unit distance as an answer if using reciprocals correctly.

 

To master algebraic concepts like reciprocals and other mathematical skills, explore UpStudy’s live tutor question bank or our AI-powered problem-solving services. Our resources provide detailed explanations and interactive learning experiences tailored to your needs.
For those looking to enhance their mathematical skills further, UpStudy offers comprehensive guides that make learning both engaging and effective!

Still have questions?
Ask UpStudy online

  • 24/7 expert live tutors

  • Unlimited numbers of questions

  • Step-by-step explanations

📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic
  • Limited Solutions