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1. Calcula el valor de [tex]\( A + B \)[/tex], si:

[tex]\( A = 3 - \frac{1}{2} \)[/tex]
[tex]\( B = 4 + \frac{1}{3} \)[/tex]

a) [tex]\( \frac{41}{6} \)[/tex]
b) [tex]\( \frac{40}{5} \)[/tex]
c) [tex]\( \frac{7}{3} \)[/tex]
d) [tex]\( \frac{45}{6} \)[/tex]
e) [tex]\( \frac{41}{3} \)[/tex]

Sagot :

GinnyAnsweridn
Para resolver el valor de [tex]\(A + B\)[/tex] donde:
[tex]\[ A = 3 - \frac{1}{2} \][/tex]
[tex]\[ B = 4 + \frac{1}{3} \][/tex]

Vamos a empezar calculando los valores de [tex]\(A\)[/tex] y [tex]\(B\)[/tex] por separado.

Primero, calculemos [tex]\(A\)[/tex]:
[tex]\[ A = 3 - \frac{1}{2} \][/tex]

Restar un medio a tres:
[tex]\[ 3 = \frac{6}{2} \][/tex] (Convertimos 3 a una fracción con denominador 2)

Entonces:
[tex]\[ A = \frac{6}{2} - \frac{1}{2} = \frac{6 - 1}{2} = \frac{5}{2} \][/tex]
[tex]\[ A = 2.5 \][/tex]

Ahora, calculemos [tex]\(B\)[/tex]:
[tex]\[ B = 4 + \frac{1}{3} \][/tex]

Sumar un tercio a cuatro:
[tex]\[ 4 = \frac{12}{3} \][/tex] (Convertimos 4 a una fracción con denominador 3)

Entonces:
[tex]\[ B = \frac{12}{3} + \frac{1}{3} = \frac{12 + 1}{3} = \frac{13}{3} \][/tex]
[tex]\[ B = 4.333333333333333 \][/tex]

Ahora, sumemos [tex]\(A\)[/tex] y [tex]\(B\)[/tex]:
[tex]\[ A + B = 2.5 + 4.333333333333333 \][/tex]

Sumando los valores decimales:
[tex]\[ A + B = 6.833333333333333 \][/tex]

Para convertir esta suma en una fracción adecuada, observamos que:
[tex]\[ 6.833333333333333 \approx \frac{41}{6} \][/tex]

Por lo tanto, la opción correcta es:
[tex]\[ a) \frac{41}{6} \][/tex]
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