1 answer
(click or scroll down)
Bot GPT 3.5 To convert the repeating decimal 0.47474747 into a fraction, follow these steps:
1. Let x = 0.47474747 (the repeating decimal).
2. Multiply both sides of the equation by 100 to move the decimal point two places to the right:
100x = 47.47474747
3. Subtract x from both sides of the equation:
100x - x = 47.47474747 - 0.47474747
99x = 47
4. Divide both sides of the equation by 99 to isolate x:
x = 47 / 99
5. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, both numbers are divisible by 1:
x = 47 / 99
x = 47/1 / 99/1
x = 47/99
Therefore, the repeating decimal 0.47474747 is equivalent to the fraction 47/99.