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10/13 mod 13 – Remainder of 10/13 Divided by 13

10/13 mod 13, 10/13 modulo 13 as well as 10/13 modulus 13 all mean the same: 🙂

The remainder of the (Euclidean) division of 10/13 by 13.

10/13 mod 13 = 0.769230769230769

What is 10/13 modulo 13?

  • 10/13 is the dividend
  • 13 is the divisor (modulo)
  • 0.769230769230769 is the remainder

So, the answer is:

10/13 modulo 13 = 0.769230769230769


Next, we show you the math.

How is 10/13 mod 13 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 10/13 / 13 called quotient: 0
  2. Multiply the quotient by the divisor: 0 × 13 = 0
  3. Subtract the result from step 2 from the dividend: 10/13 – 0 = 0.769230769230769

Proof: 0.769230769230769 = (0 × 13) + 0.769230769230769.

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