Answer: 0.8929 as a fraction is 8929/10000
Converting the decimal number 0.8929 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 0.8929 can be broken down as:
0.8929 = 0 + 0.8929
Here, 0 is the whole number part, and 0.8929 is the decimal part.
Focus on converting the decimal part, 0.8929, to a fraction. To do this, consider the place value of the decimal:
0.8929 =
8929
10000
Now, simplify the fraction 8929/10000. To do this, find the greatest common divisor (GCD) of 8929 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8929 ÷ 1
10000 ÷ 1
=
8929
10000
So, 0.8929 as a fraction is 8929/10000
Now that you have 0.8929 = 0 + 0.8929, express the entire number as a mixed fraction:
0.8929
= 0 +
8929
10000
=
0
10000
+
8929
10000
=
8929
10000
Here, 0/10000 is the whole number 0, and 8929/10000 is the fractional part.
Answer: 0.8929 = 8929/10000
Converting 0.8929 to a fraction results in 8929/10000. 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.