The fraction 4/7 can be converted to a decimal by performing the division of the numerator by the denominator. To calculate this, you would divide 4 by 7.
When you perform the division, you find that:
4 ÷ 7 = 0.571428571428...
This result is a repeating decimal, which means that the digits “571428” repeat indefinitely. To make it easier to read, we often round it to a certain number of decimal places. For example, you could round it to:
- 0.57 (rounded to two decimal places)
- 0.571 (rounded to three decimal places)
- 0.5714 (rounded to four decimal places)
In conclusion, the decimal representation of 4/7 is approximately 0.571 when rounded to three decimal places, but it is more accurately expressed as 0.571428571428… indicating its repeating nature.