Answer:
Well assuming you don’t need to simplify
44/100
0.44
44%
Step-by-step explanation:
Okay so fraction is easy, theres a 100 cubes in total, 44 are shaded in, 44/100 are shaded in which is the area in this scenario.
Decimal is basically moving the place area by a specific amount, in this case theres no whole number since the whole number is 1 or 100/100 and its 44/100 right now so it can’t be a whole number. Decimals go by tenths, hundreths, thousandths, etc. so in this case 44/100 is n the hundreth place since its over a hundred so its 0.44. Or you can move it twice to the right by the times of 0 that appears.
Percent basically means out of 100. So in this case its 44 out of a hundred or 44%
Let 
and 
. By the product rule,
By the power rule, we have 
and 
, but 
are functions of 
, so we also need to apply the chain rule:
and we have
So we end up with
Replace to get everything in terms of :
We can simplify this by factoring:
