Para y = 3 1/8 = 25/8
(5 2/9 25/8 + 3 1/2) 3 - 7 2/3 * 25/8
First, let's convert the mixed numbers into improper fractions:
5 2/9 = 47/93 1/2 = 7/27 2/3 = 23/3
Now, substitute y = 25/8 into the expression:
(47/9 25/8 + 7/2) 3 - 23/3 25/8= (1175/72 + 7/2) 3 - 575/24= (1625/72) 3 - 575/24= 4885/72 - 575/24= (4885 3)/(72 3) - (575 3)/(24 * 3)= 14655/216 - 1725/72= (14655 - 3888)/216= 10767/216= 499/9= 55 4/9
Entonces, el resultado de la expresión es 55 4/9.
Para y = 3 1/8 = 25/8
(5 2/9 25/8 + 3 1/2) 3 - 7 2/3 * 25/8
First, let's convert the mixed numbers into improper fractions:
5 2/9 = 47/9
3 1/2 = 7/2
7 2/3 = 23/3
Now, substitute y = 25/8 into the expression:
(47/9 25/8 + 7/2) 3 - 23/3 25/8
= (1175/72 + 7/2) 3 - 575/24
= (1625/72) 3 - 575/24
= 4885/72 - 575/24
= (4885 3)/(72 3) - (575 3)/(24 * 3)
= 14655/216 - 1725/72
= (14655 - 3888)/216
= 10767/216
= 499/9
= 55 4/9
Entonces, el resultado de la expresión es 55 4/9.