Explanation:
a.
2 5/8 =

By using a calculator, you can have
21 / 8 = 2.625.
Or if we use a traditional method:
8*2 = 16.
left: 21 - 16 = 5.
8*0.6 = 4.8,
left: 0.2
8*0.02 = 0.16,
left: 0.04
8*0.005 = 0.04,
and left = 0,
therefore 21 / 8 = 2.625.
But this is not recommended if you have access to calculator.
b.
Ariel's likely error was that she misinterpreted the symbols presented like / and .
Although "2" was accurately converted to decimal as 2.xx, her conversion was inaccurate because 5/8 does not equal to 0.58, but should be properly converted to decimal by division.