Answer: 0.8696 as a fraction is 1087/1250
Converting the decimal number 0.8696 into a fraction might seem tricky at first, but with the right steps, it's straightforward. This guide will walk you through the entire process, ensuring you understand each part of the conversion.
The decimal 0.8696 can be broken down as:
0.8696 = 0 + 0.8696
Here, 0 is the whole number part, and 0.8696 is the decimal part.
Focus on converting the decimal part, 0.8696, to a fraction. To do this, consider the place value of the decimal:
0.8696 =
8696
10000
Now, simplify the fraction 8696/10000. To do this, find the greatest common divisor (GCD) of 8696 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8696 ÷ 8
10000 ÷ 8
=
1087
1250
So, 0.8696 as a fraction is 1087/1250
Now that you have 0.8696 = 0 + 0.8696, express the entire number as a mixed fraction:
0.8696
= 0 +
1087
1250
=
0
1250
+
1087
1250
=
1087
1250
Here, 0/1250 is the whole number 0, and 1087/1250 is the fractional part.
Answer: 0.8696 = 1087/1250
Converting 0.8696 to a fraction results in 1087/1250. This detailed process of breaking down the decimal, converting it, simplifying, and then combining the parts gives you a clear understanding of how to handle such conversions in math, everyday calculations, or even complex problem-solving.