Answer: 0.8674 as a fraction is 4337/5000
Converting the decimal number 0.8674 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 0.8674 can be broken down as:
0.8674 = 0 + 0.8674
Here, 0 is the whole number part, and 0.8674 is the decimal part.
Focus on converting the decimal part, 0.8674, to a fraction. To do this, consider the place value of the decimal:
0.8674 =
8674
10000
Now, simplify the fraction 8674/10000. To do this, find the greatest common divisor (GCD) of 8674 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8674 ÷ 2
10000 ÷ 2
=
4337
5000
So, 0.8674 as a fraction is 4337/5000
Now that you have 0.8674 = 0 + 0.8674, express the entire number as a mixed fraction:
0.8674
= 0 +
4337
5000
=
0
5000
+
4337
5000
=
4337
5000
Here, 0/5000 is the whole number 0, and 4337/5000 is the fractional part.
Answer: 0.8674 = 4337/5000
Converting 0.8674 to a fraction results in 4337/5000. 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.