1. Find Reducing Fractions of `15/10`

Solution:
Step-1: Find factors of numerator and denominator

Factors of 15 and 10 using division method
3 15 5 5   1	2 10 5 5   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)`

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2. Find Reducing Fractions of `25/20`

Solution:
Step-1: Find factors of numerator and denominator

Factors of 25 and 20 using division method
5 25 5 5   1	2 20 2 10 5 5   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)`

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3. Find Reducing Fractions of `50/30`

Solution:
Step-1: Find factors of numerator and denominator

Factors of 50 and 30 using division method
2 50 5 25 5 5   1	2 30 3 15 5 5   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)`

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4. Find Reducing Fractions of `36/100`

Solution:
Step-1: Find factors of numerator and denominator

Factors of 36 and 100 using division method
2 36 2 18 3 9 3 3   1	2 100 2 50 5 25 5 5   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)`

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