Answer: 0.0502 as a fraction is 251/5000
Converting the decimal number 0.0502 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.
Step 1: Understand the DecimalThe decimal 0.0502 can be broken down as:
0.0502 = 0 + 0.0502
Here, 0 is the whole number part, and 0.0502 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0502, to a fraction. To do this, consider the place value of the decimal:
0.0502 =
502
10000
Now, simplify the fraction 502/10000. To do this, find the greatest common divisor (GCD) of 502 and 10000.
Now, divide both the numerator and the denominator by their GCD:
502 ÷ 2
10000 ÷ 2
=
251
5000
So, 0.0502 as a fraction is 251/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.0502 = 0 + 0.0502, express the entire number as a mixed fraction:
0.0502
= 0 +
251
5000
=
0
5000
+
251
5000
=
251
5000
Here, 0/5000 is the whole number 0, and 251/5000 is the fractional part.
Final Result: Fraction Form of 0.0502 After simplifying, we get the final fraction:
Answer: 0.0502 = 251/5000
Converting 0.0502 to a fraction results in 251/5000. 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.