Answer and Step-by-step explanation:
To convert 0.8585 into a fraction, we can use the following steps:
1. Let x be the decimal number we want to convert into a fraction.
2. Since 0.8585 has four decimal places, we can multiply x by 10,000 (10^4) to eliminate the decimal places.
3. Multiply both the numerator and denominator of the resulting fraction by the same power of 10 to maintain the value of the fraction. In this case, we multiply both the numerator and denominator by 10,000.
4. Simplify the resulting fraction if possible by dividing both the numerator and denominator by their greatest common divisor.
By following these steps, we can convert 0.8585 into a fraction:
0.8585 * 10,000 = 8,585 (numerator)
10,000 (denominator)
The resulting fraction is 8,585/10,000. To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5:
8,585 ÷ 5 = 1,717 (numerator)
10,000 ÷ 5 = 2,000 (denominator)
Therefore, the fraction equivalent of 0.8585 is 1,717/2,000.