Answer: 0.0506 as a fraction is 253/5000
Converting the decimal number 0.0506 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 0.0506 can be broken down as:
0.0506 = 0 + 0.0506
Here, 0 is the whole number part, and 0.0506 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0506, to a fraction. To do this, consider the place value of the decimal:
0.0506 =
506
10000
Now, simplify the fraction 506/10000. To do this, find the greatest common divisor (GCD) of 506 and 10000.
Now, divide both the numerator and the denominator by their GCD:
506 ÷ 2
10000 ÷ 2
=
253
5000
So, 0.0506 as a fraction is 253/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.0506 = 0 + 0.0506, express the entire number as a mixed fraction:
0.0506
= 0 +
253
5000
=
0
5000
+
253
5000
=
253
5000
Here, 0/5000 is the whole number 0, and 253/5000 is the fractional part.
Final Result: Fraction Form of 0.0506 After simplifying, we get the final fraction:
Answer: 0.0506 = 253/5000
Converting 0.0506 to a fraction results in 253/5000. 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.