We use cookies to improve your experience on our site and to show you relevant advertising. By browsing this website, you agree to our use of cookies. Learn more   

AtoZmath.com
Support us
(New) All problem can be solved using search box
I want to sell my website www.AtoZmath.com with complete code
Home What's new College Algebra Games Feedback About us
Algebra Matrix & Vector Numerical Methods Statistical Methods Operation Research Word Problems Calculus Geometry Pre-Algebra


Home > Pre-Algebra calculators > Simplify Fraction example
5. Simplify Fraction example ( Enter your problem )
( Enter your problem )
  1. Example-1
 		Other related methods
  1. Numerator and Denominator
  2. Proper and Improper Fractions
  3. Like and Unlike fractions
  4. Model Fractions (Visual Fractions)
  5. Simplify Fraction
  6. Equivalent Fractions
  7. How many eighths are equivalent to 1/2
  8. Fraction to Decimal (Mixed Number to Decimal)
  9. Decimal to Fraction (Decimal to Mixed Number)
  10. Fraction to Percentage (Mixed Number to Percentage)
  11. Improper fraction to Mixed number
  12. Mixed Number to Improper Fraction
  13. Reciprocal of a fraction
  14. LCD of fractions
  15. Convert unlike fraction to like fraction
  16. Comparing fractions
  17. Ascending and descending order of fractions
  18. Add, subtract, multiply and divide of Fractions
  19. Add, subtract, multiply and divide of Mixed numbers
  20. Visual Model for Adding, Subtracting of Fractions
  21. Simplify fraction expression
4. Model Fractions (Visual Fractions)
(Previous method)		6. Equivalent Fractions
(Next method)

1. Example-1


1. Find Simplify Fraction of `15/10`

Solution:
Step-1: Find factors of numerator and denominator
Factors of 15 and 10 using division method
315
55
 1
210
55
 1
Or
Factors of 15 and 10 using factor tree method
15
  
3
5
10
  
2
5


Step-2: Rewrite the numerator and denominator as the product of the primes
`15/10=(3 xx 5)/(2 xx 5)`

Step-3: Remove the common factors `5`

`=(3 xx cancel{(5)})/(2 xx cancel{(5)})`

`=(3)/(2)`
2. Find Simplify Fraction of `25/20`

Solution:
Step-1: Find factors of numerator and denominator
Factors of 25 and 20 using division method
525
55
 1
220
210
55
 1
Or
Factors of 25 and 20 using factor tree method
25
  
5
5
20
  
2
10
  
2
5


Step-2: Rewrite the numerator and denominator as the product of the primes
`25/20=(5 xx 5)/(2 xx 2 xx 5)`

Step-3: Remove the common factors `5`

`=(cancel{(5)} xx 5)/(2 xx 2 xx cancel{(5)})`

`=(5)/(2 xx 2)`

`=(5)/(4)`
3. Find Simplify Fraction of `50/30`

Solution:
Step-1: Find factors of numerator and denominator
Factors of 50 and 30 using division method
250
525
55
 1
230
315
55
 1
Or
Factors of 50 and 30 using factor tree method
50
  
2
25
  
5
5
30
  
2
15
  
3
5


Step-2: Rewrite the numerator and denominator as the product of the primes
`50/30=(2 xx 5 xx 5)/(2 xx 3 xx 5)`

Step-3: Remove the common factors `2,5`

`=(cancel{(2)} xx cancel{(5)} xx 5)/(cancel{(2)} xx 3 xx cancel{(5)})`

`=(5)/(3)`
4. Find Simplify Fraction of `36/100`

Solution:
Step-1: Find factors of numerator and denominator
Factors of 36 and 100 using division method
236
218
39
33
 1
2100
250
525
55
 1
Or
Factors of 36 and 100 using factor tree method
36
  
2
18
  
2
9
  
3
3
100
  
2
50
  
2
25
  
5
5


Step-2: Rewrite the numerator and denominator as the product of the primes
`36/100=(2 xx 2 xx 3 xx 3)/(2 xx 2 xx 5 xx 5)`

Step-3: Remove the common factors `2,2`

`=(cancel{(2)} xx cancel{(2)} xx 3 xx 3)/(cancel{(2)} xx cancel{(2)} xx 5 xx 5)`

`=(3 xx 3)/(5 xx 5)`

`=(9)/(25)`

This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then Submit Here


4. Model Fractions (Visual Fractions)
(Previous method)		6. Equivalent Fractions
(Next method)


Share this solution or page with your friends.


Home What's new College Algebra Games Feedback About us
 
Copyright © 2024. All rights reserved. Terms, Privacy
 
 

.