0.895 with 95 repeating on and on as a simplified fraction can be re-written as 887/990.
<h3>How to determine the fractional equivalent of this repeating decimal?</h3>
By critically observing the given number, we can reasonably and logically deduce that it has three (3) repeating digits. Since this number has three (3) repeating digits, we would have to multiply n by 1000 as follows:
1000n = 0.895
1000n = 895.95 .......equation 1.
10n = 8.95 .......equation 2.
Subtracting equation 2 from equation 1, we have:
1000n - 10n = 895.95 - 8.95
990n = 887
Dividing both sides by 990, we have:
n = 887/990
Simplified fraction, n = 887/990.
Read more on repeating decimal here: brainly.com/question/16727802
#SPJ1
Complete Question:
Write 0.895 with 95 repeating on and on as a simplified fraction.
