Pregunta
3. Rewrite the following fractions as decimals: \( \begin{array}{llll}\text { a) } \frac{2}{5} & \text { b) } \frac{3}{4} & \text { c) } \frac{2}{7} & \text { d) } \frac{5}{6} \\ \text { e) } \frac{3}{8} & \text { f) } \frac{2}{11} & \end{array} \)
Ask by Huang Marshall. in South Africa
Jan 21,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
Here are the fractions rewritten as decimals:
a) \( \frac{2}{5} = 0.4 \)
b) \( \frac{3}{4} = 0.75 \)
c) \( \frac{2}{7} \approx 0.\overline{285714} \)
d) \( \frac{5}{6} \approx 0.\overline{833333} \)
e) \( \frac{3}{8} = 0.375 \)
f) \( \frac{2}{11} \approx 0.\overline{18} \)
Solución
Sure! Let's rewrite each of the given fractions as decimals:
### a) \( \frac{2}{5} \)
\[
\frac{2}{5} = 0.4
\]
### b) \( \frac{3}{4} \)
\[
\frac{3}{4} = 0.75
\]
### c) \( \frac{2}{7} \)
\[
\frac{2}{7} \approx 0.\overline{285714}
\]
*This is a repeating decimal where the sequence "285714" repeats indefinitely.*
### d) \( \frac{5}{6} \)
\[
\frac{5}{6} \approx 0.\overline{833333}
\]
*Here, the digit "3" repeats indefinitely after the decimal point.*
### e) \( \frac{3}{8} \)
\[
\frac{3}{8} = 0.375
\]
### f) \( \frac{2}{11} \)
\[
\frac{2}{11} \approx 0.\overline{18}
\]
*The digits "18" repeat indefinitely.*
---
**Summary of Decimal Conversions:**
\[
\begin{align*}
\text{a) } & \frac{2}{5} = 0.4 \\
\text{b) } & \frac{3}{4} = 0.75 \\
\text{c) } & \frac{2}{7} \approx 0.\overline{285714} \\
\text{d) } & \frac{5}{6} \approx 0.\overline{833333} \\
\text{e) } & \frac{3}{8} = 0.375 \\
\text{f) } & \frac{2}{11} \approx 0.\overline{18} \\
\end{align*}
\]
If you need further explanations or additional assistance, feel free to ask!
Revisado y aprobado por el equipo de tutoría de UpStudy
Como
error msg
Explicar
Simplifique esta solución
Mind Expander
Sure, let's convert those fractions into decimals! a) \( \frac{2}{5} = 0.4 \) b) \( \frac{3}{4} = 0.75 \) c) \( \frac{2}{7} \approx 0.2857 \) (rounded to four decimal places) d) \( \frac{5}{6} \approx 0.8333 \) (rounded to four decimal places) e) \( \frac{3}{8} = 0.375 \) f) \( \frac{2}{11} \approx 0.1818 \) (rounded to four decimal places) So there you have it! Decimal magic in action! 🎩✨
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium