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9 mod 12 – Remainder of 9 Divided by 12

9 mod 12, 9 modulo 12 as well as 9 modulus 12 all mean the same: 🙂

The remainder of the (Euclidean) division of 9 by 12.

9 mod 12 = 9

What is 9 modulo 12?

  • 9 is the dividend
  • 12 is the divisor (modulo)
  • 9 is the remainder

So, the answer is:

9 modulo 12 = 9


Next, we show you the math.

How is 9 mod 12 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 9 / 12 called quotient: 0
  2. Multiply the quotient by the divisor: 0 × 12 = 0
  3. Subtract the result from step 2 from the dividend: 9 – 0 = 9

Proof: 9 = (0 × 12) + 9.

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