Answer:
This is experimental fraction question
We start with a high fraction and work downwards to a lower fraction
Reduce 10/16; = 6/12 = 1/2 observation = the fraction gets smaller by 1/5
Reduce 10/12 = 6/9 = 1/3 observation = the fraction gets smaller by 1/4
Reduce 8/8 = 3/2 observation = the fraction gets smaller by 1/3
We notice that when the fraction is whole number it reduces by 1/3
When the fraction is 3/4 it reduces by 1/4
When the fraction is 5/8 or 10/16 it reduces the fraction by 1/5
When the fraction is already half
We can prove it reduces again by a smaller than 1/5 number
1/2 = 10/20 = reduction = 6/15 = it has reduced by 3/15 = 1/6 to 1/7
This is because the numerator is reduced 40% and the denominator is reduced by 25%
Step-by-step explanation:
