Pregunta
1. Addition and Subtraction of Fractions (a) \( \frac{5}{8}+\frac{5}{8}+\frac{5}{8}+\frac{5}{8}+\frac{5}{8} \)
Ask by Wyatt Harper. in South Africa
Feb 19,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The sum of the fractions is \( \frac{25}{8} \).
Solución
To solve the addition of the fractions \( \frac{5}{8}+\frac{5}{8}+\frac{5}{8}+\frac{5}{8}+\frac{5}{8} \), we can follow these steps:
1. **Identify the fractions**: We have five identical fractions, each equal to \( \frac{5}{8} \).
2. **Add the fractions**: Since the denominators are the same, we can simply add the numerators together. The formula for adding fractions with the same denominator is:
\[
\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}
\]
In this case, we can express the addition as:
\[
\frac{5}{8} + \frac{5}{8} + \frac{5}{8} + \frac{5}{8} + \frac{5}{8} = \frac{5 + 5 + 5 + 5 + 5}{8}
\]
3. **Calculate the numerator**:
\[
5 + 5 + 5 + 5 + 5 = 25
\]
4. **Combine the results**:
\[
\frac{25}{8}
\]
Thus, the final answer is:
\[
\frac{25}{8}
\]
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Simplifique esta solución Mind Expander
Adding up \( \frac{5}{8} \) five times is much like collecting pieces of a pie! When you combine them, you add the numerators while keeping the denominator the same. So, you have \( 5 + 5 + 5 + 5 + 5 = 25 \), giving you \( \frac{25}{8} \). This can also be expressed as \( 3 \frac{1}{8} \) if you want to show it in mixed number form! Now, let's look at subtracting fractions. If you had \( \frac{5}{8} \) and wanted to subtract \( \frac{1}{8} \), you'd just subtract the numerators: \( 5 - 1 = 4 \), keeping the denominator the same. This gives you \( \frac{4}{8} \), which simplifies to \( \frac{1}{2} \). Remember, keeping your denominators consistent is key!
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