Answer: 0.5232 as a fraction is 327/625
Converting the decimal number 0.5232 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 0.5232 can be broken down as:
0.5232 = 0 + 0.5232
Here, 0 is the whole number part, and 0.5232 is the decimal part.
Focus on converting the decimal part, 0.5232, to a fraction. To do this, consider the place value of the decimal:
0.5232 =
5232
10000
Now, simplify the fraction 5232/10000. To do this, find the greatest common divisor (GCD) of 5232 and 10000.
Now, divide both the numerator and the denominator by their GCD:
5232 ÷ 16
10000 ÷ 16
=
327
625
So, 0.5232 as a fraction is 327/625
Now that you have 0.5232 = 0 + 0.5232, express the entire number as a mixed fraction:
0.5232
= 0 +
327
625
=
0
625
+
327
625
=
327
625
Here, 0/625 is the whole number 0, and 327/625 is the fractional part.
Answer: 0.5232 = 327/625
Converting 0.5232 to a fraction results in 327/625. 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.