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1/7 mod 11 – Remainder of 1/7 Divided by 11

1/7 mod 11, 1/7 modulo 11 as well as 1/7 modulus 11 all mean the same: 🙂

The remainder of the (Euclidean) division of 1/7 by 11.

1/7 mod 11 = 0.142857142857143

What is 1/7 modulo 11?

  • 1/7 is the dividend
  • 11 is the divisor (modulo)
  • 0.142857142857143 is the remainder

So, the answer is:

1/7 modulo 11 = 0.142857142857143


Next, we show you the math.

How is 1/7 mod 11 Calculated?

Any decimal number is made up of a whole part, followed by a decimal point, followed by its decimal digits.

Conduct the three steps below:

  1. Take the whole part of 1/7 / 11 called quotient: 0
  2. Multiply the quotient by the divisor: 0 × 11 = 0
  3. Subtract the result from step 2 from the dividend: 1/7 – 0 = 0.142857142857143

Proof: 0.142857142857143 = (0 × 11) + 0.142857142857143.

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– Article written by Mark, last updated on January 11th, 2024