Pregunta
What is the sum of \( \frac{1}{9} \) and \( \frac{5}{12} \) ?
Ask by Bowen Ward. in the United States
Jan 24,2025
Solución de tutoría real
Respuesta verificada por el tutor
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La suma es \( \frac{19}{36} \) o 0.527.
Solución
Calculate or simplify the expression \( \frac{1}{9}+\frac{5}{12} \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{1}{9}+\frac{5}{12}\)
- step1: Reduce fractions to a common denominator:
\(\frac{4}{9\times 4}+\frac{5\times 3}{12\times 3}\)
- step2: Multiply the numbers:
\(\frac{4}{36}+\frac{5\times 3}{12\times 3}\)
- step3: Multiply the numbers:
\(\frac{4}{36}+\frac{5\times 3}{36}\)
- step4: Transform the expression:
\(\frac{4+5\times 3}{36}\)
- step5: Multiply the numbers:
\(\frac{4+15}{36}\)
- step6: Add the numbers:
\(\frac{19}{36}\)
La suma de \( \frac{1}{9} \) y \( \frac{5}{12} \) es \( \frac{19}{36} \) o aproximadamente 0.527.
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The Deep Dive
To find the sum of \( \frac{1}{9} \) and \( \frac{5}{12} \), first, we need a common denominator. The least common multiple (LCM) of 9 and 12 is 36. Now, convert each fraction: \( \frac{1}{9} = \frac{1 \times 4}{9 \times 4} = \frac{4}{36} \) \( \frac{5}{12} = \frac{5 \times 3}{12 \times 3} = \frac{15}{36} \) Now we can add the two fractions: \( \frac{4}{36} + \frac{15}{36} = \frac{4 + 15}{36} = \frac{19}{36} \) So, the sum of \( \frac{1}{9} \) and \( \frac{5}{12} \) is \( \frac{19}{36} \).
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