6/16 mod 7 – Remainder of 6/16 Divided by 7

6/16 mod 7, 6/16 modulo 7 as well as 6/16 modulus 7 all mean the same: 🙂

The remainder of the (Euclidean) division of 6/16 by 7.

6/16 mod 7 = 0.375

What is 6/16 modulo 7?

• 6/16 is the dividend
• 7 is the divisor (modulo)
• 0.375 is the remainder

So, the answer is:

6/16 modulo 7 = 0.375

Next, we show you the math.

How is 6/16 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 6/16 / 7 called quotient: 0
2. Multiply the quotient by the divisor: 0 × 7 = 0
3. Subtract the result from step 2 from the dividend: 6/16 – 0 = 0.375

Proof: 0.375 = (0 × 7) + 0.375.

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Similar calculations include, for example:

• 11/16 mod 7
• 12/16 mod 7
• 13/16 mod 7

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