Think about this.
the question is actually asking How many 0.09s are there in 3.6
Well there are a great many, because 0.09 is a very little number.
10 lots of 0.09 are 10*0.09=0.9 3.6 is a lot bigger than that!
20 lots of 0.09 are 1.8 3.6 is still bigger
infact
0.09 added to itself 40 times = 3.6
0.09*40=3.6
so that is why
3.6 divided by 0.09 = 40
I guess I forgot to answer your question: Why?
If you multiplied both the numerator and the denominator of the fraction by 100,
the numerator becomes 360 and the denominator becomes 9.
Now, you have 360 ÷ 9, which is 40.
Does this help?
Think about this.
the question is actually asking How many 0.09s are there in 3.6
Well there are a great many, because 0.09 is a very little number.
10 lots of 0.09 are 10*0.09=0.9 3.6 is a lot bigger than that!
20 lots of 0.09 are 1.8 3.6 is still bigger
infact
0.09 added to itself 40 times = 3.6
0.09*40=3.6
so that is why
3.6 divided by 0.09 = 40