What is the fraction form of 0.565656?

To convert a terminating decimal into a fraction, write all the digits that appear after the decimal point as the numerator, and use a power of ten as the denominator — the exponent equal to how many digits follow the decimal point. For example, three digits after the point give a denominator of one thousand, four digits give ten thousand, and so on.

1. Count the digits after the decimal point in 0.565656 — there are six digits: 5, 6, 5, 6, 5, 6.

2. Write these six digits as the numerator, without the decimal point: 565656.

3. Since six digits follow the decimal point, the denominator is 106 = 1,000,000.

4. So 0.565656 = 565656/1,000,000.

Cross-check: Dividing 565656 by 1,000,000 moves the decimal point six places to the left, giving back 0.565656 exactly, which confirms the conversion. (Dividing the numerator and denominator by their common factor 8 further reduces this to 70707/125000, but 565656/1,000,000 is the direct place-value form asked for here.)