How to Solve Algebraic Equations with Fractions: (1/n) = (n/100)

  • Context: High School 
  • Thread starter Thread starter 939
  • Start date Start date
  • Tags Tags
    Set
Click For Summary
SUMMARY

The equation (1/n) = (n/100) can be solved by first eliminating the fractions through cross-multiplication. This leads to the equation n^2 = 100. The solutions to this equation are n = 10 and n = -10. The key step involves multiplying both sides by 100n to simplify the equation effectively.

PREREQUISITES
  • Understanding of algebraic manipulation
  • Familiarity with solving quadratic equations
  • Knowledge of cross-multiplication techniques
  • Basic grasp of positive and negative solutions
NEXT STEPS
  • Study quadratic equation solving methods
  • Learn about cross-multiplication in algebra
  • Explore the implications of positive and negative roots
  • Practice solving equations with multiple fractions
USEFUL FOR

Students learning algebra, educators teaching algebraic concepts, and anyone looking to improve their skills in solving equations involving fractions.

939
Messages
110
Reaction score
2
Algebraically, how is this done? I can do it no problem if there is no fraction, but have problems when there is.

(1/n) = (n/100)
 
Mathematics news on Phys.org
939 said:
Algebraically, how is this done? I can do it no problem if there is no fraction, but have problems when there is.

(1/n) = (n/100)

##n^2=100##, so ##n=\pm 10##.
 
  • Like
Likes   Reactions: 1 person
Multiply both sides by '100*n'.
 
  • Like
Likes   Reactions: 1 person

Similar threads

Undergrad What is meant by "convergent just preceding ##\frac{a}{b}##" ?
  • · Replies 2 ·
Replies
2
Views
2K
High School Geometry Puzzle with 20 points in a cross pattern
  • · Replies 31 ·
2
Replies
31
Views
5K
High School Understanding the relationship between ratios and fractions
  • · Replies 8 ·
Replies
8
Views
3K
High School What went wrong with (-x)^2=x^2?
  • · Replies 22 ·
Replies
22
Views
3K
MHB Looking for a recursion relation
  • · Replies 2 ·
Replies
2
Views
1K
Graduate Are these two optimization problems equivalent?
  • · Replies 1 ·
Replies
1
Views
2K
Insights Fermat's Last Theorem
  • · Replies 105 ·
4
Replies
105
Views
11K
High School How do you multiply fractions again? My brain just froze 😅
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Questions regarding Kurepa's Conjecture
  • · Replies 1 ·
Replies
1
Views
3K
High School How to prove this for every Arithmetic Progression?
  • · Replies 12 ·
Replies
12
Views
2K