1/13 mod 10 – Remainder of 1/13 Divided by 10

1/13 mod 10, 1/13 modulo 10 as well as 1/13 modulus 10 all mean the same: 🙂

The remainder of the (Euclidean) division of 1/13 by 10.

1/13 mod 10 = 0.0769230769230769

What is 1/13 modulo 10?

• 1/13 is the dividend
• 10 is the divisor (modulo)
• 0.0769230769230769 is the remainder

So, the answer is:

1/13 modulo 10 = 0.0769230769230769

Next, we show you the math.

How is 1/13 mod 10 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 1/13 / 10 called quotient: 0
2. Multiply the quotient by the divisor: 0 × 10 = 0
3. Subtract the result from step 2 from the dividend: 1/13 – 0 = 0.0769230769230769

Proof: 0.0769230769230769 = (0 × 10) + 0.0769230769230769.

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Similar calculations include, for example:

• 6/13 mod 10
• 7/13 mod 10
• 8/13 mod 10

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