Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 2 \div 7 = \frac{2}{7} \approx 0.2857 \)
Solution
Certainly! Let's solve the division problem step by step.
**a. \( 2 \div 7 = \)**
1. **Express as a Fraction:**
\[
2 \div 7 = \frac{2}{7}
\]
2. **Convert to Decimal:**
To convert the fraction \(\frac{2}{7}\) to a decimal, perform the division:
\[
2 \div 7 = 0.\overline{285714}
\]
This means that the decimal repeats the sequence "285714" indefinitely.
3. **Rounded Decimal (to four decimal places):**
\[
2 \div 7 \approx 0.2857
\]
*(The approximation rounds the repeating decimal to four places for simplicity.)*
**Summary:**
\[
2 \div 7 = \frac{2}{7} \approx 0.2857 \text{ (rounded to four decimal places)}
\]
If you need more detailed steps or further assistance with similar problems, feel free to ask!
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Bonus Knowledge
The result of \( 2 \div 7 \) can be expressed as a fraction: \( \frac{2}{7} \). If you're looking for a decimal, it would be approximately 0.2857, which is a repeating decimal. It’s a delicious little piece of math that's less than one but greater than zero – perfect for sharing a pizza among friends where you can only grab a slice here and there! Dividing by a number greater than the numerator can sometimes be tricky. A common mistake is forgetting that the result will always be less than one in these cases. Remember, if you're ever unsure, you can always convert the fraction into a decimal or use a calculator for a quick check!
