Pregunta
Use the Distributive Property to rewrite the expression \( 5 \cdot 4 \frac{11}{12} \).
Ask by Herrera Whittaker. in the United States
Mar 11,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\( 5 \cdot 4 \frac{11}{12} = \frac{295}{12} \)
Solución
To rewrite the expression \( 5 \cdot 4 \frac{11}{12} \) using the Distributive Property, we first need to convert the mixed number \( 4 \frac{11}{12} \) into an improper fraction.
1. Convert \( 4 \frac{11}{12} \) to an improper fraction:
\[
4 \frac{11}{12} = \frac{4 \cdot 12 + 11}{12} = \frac{48 + 11}{12} = \frac{59}{12}
\]
2. Now, we can rewrite the expression:
\[
5 \cdot 4 \frac{11}{12} = 5 \cdot \frac{59}{12}
\]
3. Using the Distributive Property, we can express this as:
\[
5 \cdot \frac{59}{12} = \frac{5 \cdot 59}{12}
\]
4. Now, we calculate \( 5 \cdot 59 \):
\[
5 \cdot 59 = 295
\]
5. Therefore, the expression can be rewritten as:
\[
\frac{295}{12}
\]
Thus, the expression \( 5 \cdot 4 \frac{11}{12} \) rewritten using the Distributive Property is \( \frac{295}{12} \).
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Beyond the Answer
When you apply the Distributive Property, think of breaking down \( 4 \frac{11}{12} \) into more manageable parts. You can split it into \( 4 + \frac{11}{12} \). So, it becomes \( 5 \cdot (4 + \frac{11}{12}) \). Using the property, this expands to \( 5 \cdot 4 + 5 \cdot \frac{11}{12} \). Now, let’s calculate that! \( 5 \cdot 4 = 20 \) and \( 5 \cdot \frac{11}{12} = \frac{55}{12} \). So, the expression rewritten using the Distributive Property is \( 20 + \frac{55}{12} \).

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