8/13 mod 7 – Remainder of 8/13 Divided by 7

8/13 mod 7, 8/13 modulo 7 as well as 8/13 modulus 7 all mean the same: 🙂

The remainder of the (Euclidean) division of 8/13 by 7.

8/13 mod 7 = 0.615384615384615

What is 8/13 modulo 7?

• 8/13 is the dividend
• 7 is the divisor (modulo)
• 0.615384615384615 is the remainder

So, the answer is:

8/13 modulo 7 = 0.615384615384615

Next, we show you the math.

How is 8/13 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 8/13 / 7 called quotient: 0
2. Multiply the quotient by the divisor: 0 × 7 = 0
3. Subtract the result from step 2 from the dividend: 8/13 – 0 = 0.615384615384615

Proof: 0.615384615384615 = (0 × 7) + 0.615384615384615.

Modulo Calculator

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Similar calculations include, for example:

• 1/14 mod 7
• 2/14 mod 7
• 3/14 mod 7

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