4/16 mod 3 – Remainder of 4/16 Divided by 3

4/16 mod 3, 4/16 modulo 3 as well as 4/16 modulus 3 all mean the same: 🙂

The remainder of the (Euclidean) division of 4/16 by 3.

4/16 mod 3 = 0.25

What is 4/16 modulo 3?

• 4/16 is the dividend
• 3 is the divisor (modulo)
• 0.25 is the remainder

So, the answer is:

4/16 modulo 3 = 0.25

Next, we show you the math.

How is 4/16 mod 3 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 4/16 / 3 called quotient: 0
2. Multiply the quotient by the divisor: 0 × 3 = 0
3. Subtract the result from step 2 from the dividend: 4/16 – 0 = 0.25

Proof: 0.25 = (0 × 3) + 0.25.

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Similar calculations include, for example:

• 9/16 mod 3
• 10/16 mod 3
• 11/16 mod 3

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