Phillips Graham
09/16/2023 · High School
d. \( \frac{12}{5} \square \frac{1}{5}-\frac{4}{5}=\frac{7}{5} \)
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Tutor-Verified Answer
Step-by-step Solution
Para resolver la ecuación \( \frac{12}{5} \square \frac{1}{5}-\frac{4}{5}=\frac{7}{5} \), primero debemos encontrar el símbolo que falta (\( \square \)).
Reescribimos la ecuación:
\[
\frac{12}{5} \square \frac{1}{5} - \frac{4}{5} = \frac{7}{5}
\]
Sumamos \( \frac{4}{5} \) a ambos lados de la ecuación:
\[
\frac{12}{5} \square \frac{1}{5} = \frac{7}{5} + \frac{4}{5}
\]
Calculamos el lado derecho:
\[
\frac{7}{5} + \frac{4}{5} = \frac{11}{5}
\]
Ahora tenemos:
\[
\frac{12}{5} \square \frac{1}{5} = \frac{11}{5}
\]
Para encontrar el valor de \( \square \), multiplicamos ambos lados por \( \frac{5}{12} \):
\[
\square \frac{1}{5} = \frac{11}{5} \cdot \frac{5}{12}
\]
Simplificamos el lado derecho:
\[
\square \frac{1}{5} = \frac{11}{12}
\]
Ahora, para encontrar el valor de \( \square \), multiplicamos ambos lados por \( 5 \):
\[
\square = \frac{11}{12} \cdot 5
\]
Calculamos:
\[
\square = \frac{55}{12}
\]
Por lo tanto, el símbolo que falta es la multiplicación:
\[
\frac{12}{5} \cdot \frac{1}{5} - \frac{4}{5} = \frac{7}{5}
\]
La respuesta es:
\[
\frac{12}{5} \cdot \frac{1}{5} - \frac{4}{5} = \frac{7}{5}
\]
Quick Answer
El símbolo que falta es la multiplicación. La ecuación es correcta: \( \frac{12}{5} \cdot \frac{1}{5} - \frac{4}{5} = \frac{7}{5} \).
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