To round the fraction [tex]\(\frac{3}{7}\)[/tex] to 4 decimal places, follow these steps:
1. Perform the Division:
- Divide 3 by 7 to get the decimal form of the fraction.
- [tex]\(\frac{3}{7} \approx 0.428571428571...\)[/tex]
2. Identify the Fourth Decimal Place:
- The number after the decimal point in [tex]\(\frac{3}{7}\)[/tex] is 0.428571428571...
- The fourth decimal place is '5', which is the fourth digit after the decimal point.
3. Round to 4 Decimal Places:
- To round to four decimal places, look at the fifth decimal place to decide whether to round up or down.
- The fifth decimal place in this example is '7'.
- Since '7' is greater than or equal to '5', we round up the fourth decimal place from '5' to '6'.
4. Write the Final Answer:
- After rounding, the fraction [tex]\(\frac{3}{7}\)[/tex] to 4 decimal places is 0.4286.
So, the fraction [tex]\(\frac{3}{7}\)[/tex] rounded to 4 decimal places is:
[tex]\[ 0.4286 \][/tex]
