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12/16 mod 7 – Remainder of 12/16 Divided by 7

12/16 mod 7, 12/16 modulo 7 as well as 12/16 modulus 7 all mean the same: 🙂

The remainder of the (Euclidean) division of 12/16 by 7.

12/16 mod 7 = 0.75

What is 12/16 modulo 7?

  • 12/16 is the dividend
  • 7 is the divisor (modulo)
  • 0.75 is the remainder

So, the answer is:

12/16 modulo 7 = 0.75


Next, we show you the math.

How is 12/16 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 12/16 / 7 called quotient: 0
  2. Multiply the quotient by the divisor: 0 × 7 = 0
  3. Subtract the result from step 2 from the dividend: 12/16 – 0 = 0.75

Proof: 0.75 = (0 × 7) + 0.75.

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