Question

two chefs are trying to break world record for the longest spaghetti. chef a measures his spaghetti strand to be 503 2/3 ft chef b measures his spaghetti strand be 503.66 ft. Since 503.66 rounds to 503.7 the judges declare chef b is the winner. Explain y chef a should protest the judges' decision

Answer 1

$\frac{2}{3} =0.666666... = 0.67$

Chef A Length >=< Chef B Length
$503 \frac{2}{3}$ >=< $503.66$
$503.67$ = $503.67$

If you convert $\frac{2}{3}$ into a decimal and round it, it shows that both the chefs have the the same length of pasta. 

Answer 2

Lenght spaghetti chef a:
503 2/3ft= (503*3+2)/3=1511/3 =503,(6)
lenght spaghetti chef b:
503,66

Because 503,(6)>503,66
=> lenght spaghetti chef a > lenght spaghetti chef b
So, the winner must be chef a, but, if 503.66 rounds to 503.7, also 503(6) rounds to 503.7, and in this case
lenght spaghetti chef a= lenght spaghetti chef b
So, chef a should protest the judges' decision, because his lenght spaghetti is ≥ lenght spaghetti chef b.