Question
Add or subtract. 2. \( \frac{1}{2}+\frac{5}{8}= \)
Ask by Wyatt Turner. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
\frac{1}{2} + \frac{5}{8} = \frac{9}{8} \quad \text{o} \quad 1 \frac{1}{8}
\]
Solution
Claro, vamos a sumar las fracciones:
2. \( \frac{1}{2} + \frac{5}{8} \)
**Paso 1: Encontrar un denominador común**
El mínimo común denominador (MCD) de 2 y 8 es 8.
**Paso 2: Convertir las fracciones al denominador común**
\[
\frac{1}{2} = \frac{4}{8}
\]
\[
\frac{5}{8} = \frac{5}{8}
\]
**Paso 3: Sumar las fracciones**
\[
\frac{4}{8} + \frac{5}{8} = \frac{9}{8}
\]
**Resultado:**
\[
\frac{1}{2} + \frac{5}{8} = \frac{9}{8} \quad \text{o}\quad 1 \frac{1}{8}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To add \(\frac{1}{2}+\frac{5}{8}\), let's start by finding a common denominator. The denominator for \(\frac{1}{2}\) can be converted to 8 by multiplying both the numerator and denominator by 4, making it \(\frac{4}{8}\). Now, we can add: \[ \frac{4}{8}+\frac{5}{8}=\frac{9}{8} \] This can also be expressed as \(1\frac{1}{8}\) if you prefer mixed numbers! Next time you encounter fractions, remember to always get them to the same denominator before proceeding with addition or subtraction, as it simplifies the process! Common mistakes often occur when trying to add fractions with different denominators without adjusting them first, leading to inaccuracies in results.
