Which of the following is equivalent to $\bar{0.56}$ ? (the bar indicates repeating decimal)

Question

Answer options

$\frac{56}{100}$
$\frac{56}{1000}$
$\frac{56}{99}$
$\frac{560}{90}$

Answer 1

Correct answer: $\frac{56}{99}$

Explanation: ✅ Correct Answer: C. 56/99 📚 Explanation: To convert a repeating decimal with two digits into a fraction, we place the repeating digits (56) in the numerator and put a 9 for each repeating digit in the denominator. This gives the fraction 56/99. If only one digit repeats, we would use 9. If three repeat, we would use 999. This is a standard rule for rational decimals.

Answer options

Correct answer and explanation