Answer: 0.5053 as a fraction is 5053/10000
Converting the decimal number 0.5053 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 0.5053 can be broken down as:
0.5053 = 0 + 0.5053
Here, 0 is the whole number part, and 0.5053 is the decimal part.
Focus on converting the decimal part, 0.5053, to a fraction. To do this, consider the place value of the decimal:
0.5053 =
5053
10000
Now, simplify the fraction 5053/10000. To do this, find the greatest common divisor (GCD) of 5053 and 10000.
Now, divide both the numerator and the denominator by their GCD:
5053 ÷ 1
10000 ÷ 1
=
5053
10000
So, 0.5053 as a fraction is 5053/10000
Now that you have 0.5053 = 0 + 0.5053, express the entire number as a mixed fraction:
0.5053
= 0 +
5053
10000
=
0
10000
+
5053
10000
=
5053
10000
Here, 0/10000 is the whole number 0, and 5053/10000 is the fractional part.
Answer: 0.5053 = 5053/10000
Converting 0.5053 to a fraction results in 5053/10000. 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.