Pregunta
Add \( \frac{1}{3}+\frac{4}{5} \). Simplify the answer and write as a mixed number.
Ask by Perkins Gonzalez. in the United States
Feb 03,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
\( 1 \frac{2}{15} \)
Solución
To add \( \frac{1}{3} + \frac{4}{5} \) and express the result as a mixed number, follow these steps:
1. **Find a Common Denominator:**
The least common denominator (LCD) of 3 and 5 is 15.
2. **Convert Each Fraction:**
\[
\frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15}
\]
\[
\frac{4}{5} = \frac{4 \times 3}{5 \times 3} = \frac{12}{15}
\]
3. **Add the Fractions:**
\[
\frac{5}{15} + \frac{12}{15} = \frac{17}{15}
\]
4. **Convert to a Mixed Number:**
\[
\frac{17}{15} = 1 \frac{2}{15}
\]
**Final Answer:**
\[
1 \frac{2}{15}
\]
Revisado y aprobado por el equipo de tutoría de UpStudy
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Simplifique esta solución Bonus Knowledge
To add \( \frac{1}{3}+\frac{4}{5} \), we first need a common denominator. The least common multiple of 3 and 5 is 15. Rewriting each fraction with a denominator of 15: \[ \frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15} \] \[ \frac{4}{5} = \frac{4 \times 3}{5 \times 3} = \frac{12}{15} \] Now we can add the two fractions: \[ \frac{5}{15} + \frac{12}{15} = \frac{5 + 12}{15} = \frac{17}{15} \] To convert \( \frac{17}{15} \) to a mixed number, we divide 17 by 15, which gives us 1 with a remainder of 2. Thus, \( \frac{17}{15} \) can be written as: \[ 1 \frac{2}{15} \] So, the final answer is \( 1 \frac{2}{15} \).
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