Answer: 0.3266 as a fraction is 1633/5000
Converting the decimal number 0.3266 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 0.3266 can be broken down as:
0.3266 = 0 + 0.3266
Here, 0 is the whole number part, and 0.3266 is the decimal part.
Focus on converting the decimal part, 0.3266, to a fraction. To do this, consider the place value of the decimal:
0.3266 =
3266
10000
Now, simplify the fraction 3266/10000. To do this, find the greatest common divisor (GCD) of 3266 and 10000.
Now, divide both the numerator and the denominator by their GCD:
3266 ÷ 2
10000 ÷ 2
=
1633
5000
So, 0.3266 as a fraction is 1633/5000
Now that you have 0.3266 = 0 + 0.3266, express the entire number as a mixed fraction:
0.3266
= 0 +
1633
5000
=
0
5000
+
1633
5000
=
1633
5000
Here, 0/5000 is the whole number 0, and 1633/5000 is the fractional part.
Answer: 0.3266 = 1633/5000
Converting 0.3266 to a fraction results in 1633/5000. 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.