Answer: 0.5296 as a fraction is 331/625
Converting the decimal number 0.5296 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 0.5296 can be broken down as:
0.5296 = 0 + 0.5296
Here, 0 is the whole number part, and 0.5296 is the decimal part.
Focus on converting the decimal part, 0.5296, to a fraction. To do this, consider the place value of the decimal:
0.5296 =
5296
10000
Now, simplify the fraction 5296/10000. To do this, find the greatest common divisor (GCD) of 5296 and 10000.
Now, divide both the numerator and the denominator by their GCD:
5296 ÷ 16
10000 ÷ 16
=
331
625
So, 0.5296 as a fraction is 331/625
Now that you have 0.5296 = 0 + 0.5296, express the entire number as a mixed fraction:
0.5296
= 0 +
331
625
=
0
625
+
331
625
=
331
625
Here, 0/625 is the whole number 0, and 331/625 is the fractional part.
Answer: 0.5296 = 331/625
Converting 0.5296 to a fraction results in 331/625. 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.