Pregunta
Let's find \( \frac{5}{6}+\frac{1}{9} \). \( \begin{array}{l}\text { First write the addition with a common denominator. } \\ \text { Then add. } \\ \frac{5}{6}+\frac{1}{9}=\frac{\square}{\square}+\frac{\square}{\square}=\frac{\square}{\square}\end{array} \)
Ask by Ford Barrett. in the United States
Jan 24,2025
Solución de tutoría real
Respuesta verificada por el tutor
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\[
\frac{5}{6} + \frac{1}{9} = \frac{17}{18}
\]
Solución
Let's find \( \frac{5}{6} + \frac{1}{9} \) by following the given steps.
\[
\begin{array}{l}
\text{First, write the addition with a common denominator.} \\
\text{Then, add.} \\
\frac{5}{6} + \frac{1}{9} = \frac{15}{18} + \frac{2}{18} = \frac{17}{18}
\end{array}
\]
**Explanation of the Steps:**
1. **Find a Common Denominator:**
- The denominators are 6 and 9.
- The least common multiple (LCM) of 6 and 9 is 18.
2. **Convert Each Fraction:**
- \( \frac{5}{6} = \frac{5 \times 3}{6 \times 3} = \frac{15}{18} \)
- \( \frac{1}{9} = \frac{1 \times 2}{9 \times 2} = \frac{2}{18} \)
3. **Add the Fractions:**
- \( \frac{15}{18} + \frac{2}{18} = \frac{15 + 2}{18} = \frac{17}{18} \)
So, \( \frac{5}{6} + \frac{1}{9} = \frac{17}{18} \).
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Extra Insights
To add \( \frac{5}{6} \) and \( \frac{1}{9} \), we first need a common denominator. The least common multiple of 6 and 9 is 18. Now we convert each fraction: - For \( \frac{5}{6} \): \( \frac{5 \times 3}{6 \times 3} = \frac{15}{18} \) - For \( \frac{1}{9} \): \( \frac{1 \times 2}{9 \times 2} = \frac{2}{18} \) Now we can write the addition: \[ \frac{5}{6}+\frac{1}{9}=\frac{15}{18}+\frac{2}{18}=\frac{17}{18} \]
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