Answer: 0.8677 as a fraction is 8677/10000
Converting the decimal number 0.8677 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 0.8677 can be broken down as:
0.8677 = 0 + 0.8677
Here, 0 is the whole number part, and 0.8677 is the decimal part.
Focus on converting the decimal part, 0.8677, to a fraction. To do this, consider the place value of the decimal:
0.8677 =
8677
10000
Now, simplify the fraction 8677/10000. To do this, find the greatest common divisor (GCD) of 8677 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8677 ÷ 1
10000 ÷ 1
=
8677
10000
So, 0.8677 as a fraction is 8677/10000
Now that you have 0.8677 = 0 + 0.8677, express the entire number as a mixed fraction:
0.8677
= 0 +
8677
10000
=
0
10000
+
8677
10000
=
8677
10000
Here, 0/10000 is the whole number 0, and 8677/10000 is the fractional part.
Answer: 0.8677 = 8677/10000
Converting 0.8677 to a fraction results in 8677/10000. 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.