What is 1 divided by 7?
1 ÷ 7=0.142857...
Fraction1/7
Decimal0.(142857)
TypeRepeating
How to calculate 1 ÷ 7
- 7 goes into 10 times (0 × 7 = 0)
- Remainder: 1 − 0 = 1
- Continue dividing to get the decimal: 0.(142857)
The decimal repeats with block 142857 cycling forever.
Why does this decimal repeat?
A fraction produces a repeating decimal when the denominator (in its simplified form) has prime factors other than 2 and 5. 7 has such factors, so 1/7 cannot be expressed as a terminating decimal.
The block 142857 repeats indefinitely — this is the exact value, not a rounded approximation.
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