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1/13 mod 7 – Remainder of 1/13 Divided by 7

1/13 mod 7, 1/13 modulo 7 as well as 1/13 modulus 7 all mean the same: 🙂

The remainder of the (Euclidean) division of 1/13 by 7.

1/13 mod 7 = 0.0769230769230769

What is 1/13 modulo 7?

  • 1/13 is the dividend
  • 7 is the divisor (modulo)
  • 0.0769230769230769 is the remainder

So, the answer is:

1/13 modulo 7 = 0.0769230769230769


Next, we show you the math.

How is 1/13 mod 7 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 1/13 / 7 called quotient: 0
  2. Multiply the quotient by the divisor: 0 × 7 = 0
  3. Subtract the result from step 2 from the dividend: 1/13 – 0 = 0.0769230769230769

Proof: 0.0769230769230769 = (0 × 7) + 0.0769230769230769.

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