Home > Pre-Algebra calculators > Convert unlike fraction to like fraction example

15. Convert unlike fraction to like fraction example ( 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

14. LCD of fractions
(Previous method)
16. Comparing fractions
(Next method)

1. Example-1





1. Find Convert unlike fraction to like fraction of `8/9,35/12,7/15`

Solution:
Step-1 : `8/9,35/12,7/15`

Step-2 : Find the least common multiple (LCM) of denominators
Steps of LCM of 9,12,15

Method-1 : Finding LCM of 9,12,15 using Division Method
Step-1: Divide the numbers by prime factors until the remainder is 1

291215
29615
39315
3315
5115
 111


Step-2: Multiply all the divisors to obtain the LCM

LCM of `9,12,15=2 xx 2 xx 3 xx 3 xx 5=180`


Method-2 : Finding LCM of 9,12,15 using Prime Factorization Method
Step-1: Prime factorization of `9,12,15` using factor by division method

39
33
 1
 
212
26
33
 1
 
315
55
 1

Step-2: Write each number as a product of primes, matching primes vertically when possible
9=3 × 3
12=2 × 2 × 3
15=3 × 5

Step-3: Bring down the primes in each column. The LCM is the product of these factors
9=3 × 3
12=2 × 2 × 3
15=3 × 5

LCM = 2 × 2 × 3 × 3 × 5 = 180

`:.` LCM of `9,12,15` is `180`


Here, LCM of `9,12,15 = 180`

Step-3 :
`:.` LCD (Least common denominator) of `8/9,35/12,7/15` is `180`

Step-4 : Rewriting the original inputs as equivalent fractions with the LCD:
`8/9=8/9xx20/20=160/180`

`35/12=35/12xx15/15=525/180`

`7/15=7/15xx12/12=84/180`
2. Find Convert unlike fraction to like fraction of `1/2,2/3,3/4`

Solution:
Step-1 : `1/2,2/3,3/4`

Step-2 : Find the least common multiple (LCM) of denominators
Steps of LCM of 2,3,4

Method-1 : Finding LCM of 2,3,4 using Division Method
Step-1: Divide the numbers by prime factors until the remainder is 1

2234
2132
3131
 111


Step-2: Multiply all the divisors to obtain the LCM

LCM of `2,3,4=2 xx 2 xx 3=12`


Method-2 : Finding LCM of 2,3,4 using Prime Factorization Method
Step-1: Prime factorization of `2,3,4` using factor by division method

22
 1
 
33
 1
 
24
22
 1

Step-2: Write each number as a product of primes, matching primes vertically when possible
2=2
3=3
4=2 × 2

Step-3: Bring down the primes in each column. The LCM is the product of these factors
2=2
3=3
4=2 × 2

LCM = 2 × 2 × 3 = 12

`:.` LCM of `2,3,4` is `12`


Here, LCM of `2,3,4 = 12`

Step-3 :
`:.` LCD (Least common denominator) of `1/2,2/3,3/4` is `12`

Step-4 : Rewriting the original inputs as equivalent fractions with the LCD:
`1/2=1/2xx6/6=6/12`

`2/3=2/3xx4/4=8/12`

`3/4=3/4xx3/3=9/12`
3. Find Convert unlike fraction to like fraction of `5/4,3/2,7/5`

Solution:
Step-1 : `5/4,3/2,7/5`

Step-2 : Find the least common multiple (LCM) of denominators
Steps of LCM of 4,2,5

Method-1 : Finding LCM of 4,2,5 using Division Method
Step-1: Divide the numbers by prime factors until the remainder is 1

2425
2215
5115
 111


Step-2: Multiply all the divisors to obtain the LCM

LCM of `4,2,5=2 xx 2 xx 5=20`


Method-2 : Finding LCM of 4,2,5 using Prime Factorization Method
Step-1: Prime factorization of `4,2,5` using factor by division method

24
22
 1
 
22
 1
 
55
 1

Step-2: Write each number as a product of primes, matching primes vertically when possible
4=2 × 2
2=2
5=5

Step-3: Bring down the primes in each column. The LCM is the product of these factors
4=2 × 2
2=2
5=5

LCM = 2 × 2 × 5 = 20

`:.` LCM of `4,2,5` is `20`


Here, LCM of `4,2,5 = 20`

Step-3 :
`:.` LCD (Least common denominator) of `5/4,3/2,7/5` is `20`

Step-4 : Rewriting the original inputs as equivalent fractions with the LCD:
`5/4=5/4xx5/5=25/20`

`3/2=3/2xx10/10=30/20`

`7/5=7/5xx4/4=28/20`


This material is intended as a summary. Use your textbook for detail explanation.
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14. LCD of fractions
(Previous method)
16. Comparing fractions
(Next method)





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