10/11 mod 13 – Remainder of 10/11 Divided by 13

10/11 mod 13, 10/11 modulo 13 as well as 10/11 modulus 13 all mean the same: 🙂

The remainder of the (Euclidean) division of 10/11 by 13.

10/11 mod 13 = 0.909090909090909

What is 10/11 modulo 13?

• 10/11 is the dividend
• 13 is the divisor (modulo)
• 0.909090909090909 is the remainder

So, the answer is:

10/11 modulo 13 = 0.909090909090909

Next, we show you the math.

How is 10/11 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 10/11 / 13 called quotient: 0
2. Multiply the quotient by the divisor: 0 × 13 = 0
3. Subtract the result from step 2 from the dividend: 10/11 – 0 = 0.909090909090909

Proof: 0.909090909090909 = (0 × 13) + 0.909090909090909.

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Similar calculations include, for example:

• 5/12 mod 13
• 6/12 mod 13
• 7/12 mod 13

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