12/16 mod 6 – Remainder of 12/16 Divided by 6

12/16 mod 6, 12/16 modulo 6 as well as 12/16 modulus 6 all mean the same: 🙂

The remainder of the (Euclidean) division of 12/16 by 6.

12/16 mod 6 = 0.75

What is 12/16 modulo 6?

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

So, the answer is:

12/16 modulo 6 = 0.75

Next, we show you the math.

How is 12/16 mod 6 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 / 6 called quotient: 0
2. Multiply the quotient by the divisor: 0 × 6 = 0
3. Subtract the result from step 2 from the dividend: 12/16 – 0 = 0.75

Proof: 0.75 = (0 × 6) + 0.75.

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Similar calculations include, for example:

• 1/3 mod 7
• 2/3 mod 7
• 1/4 mod 7

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