Question

Sum of Repeating Digits in 4/13

Answer 1

The sum of the repeating digits in the decimal representation of 4/13, which is 0.307692307692..., is 27.

Step-by-step explanation:

The question asks about the sum of repeating digits in the decimal representation of 4/13.

First, we need to divide 4 by 13 using a calculator or long division, which will give us a repeating decimal.

Then we identify the repeating sequence of digits and sum them up.

When we divide 4 by 13, we get 0.307692307692..., and the repeating sequence of digits is 307692.

Summing these repeating digits, we have 3 + 0 + 7 + 6 + 9 + 2, which equals 27.

Hence, the sum of the repeating digits in 4/13 is 27.