Answer: 0.0519 as a fraction is 519/10000
Converting the decimal number 0.0519 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 0.0519 can be broken down as:
0.0519 = 0 + 0.0519
Here, 0 is the whole number part, and 0.0519 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0519, to a fraction. To do this, consider the place value of the decimal:
0.0519 =
519
10000
Now, simplify the fraction 519/10000. To do this, find the greatest common divisor (GCD) of 519 and 10000.
Now, divide both the numerator and the denominator by their GCD:
519 ÷ 1
10000 ÷ 1
=
519
10000
So, 0.0519 as a fraction is 519/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0519 = 0 + 0.0519, express the entire number as a mixed fraction:
0.0519
= 0 +
519
10000
=
0
10000
+
519
10000
=
519
10000
Here, 0/10000 is the whole number 0, and 519/10000 is the fractional part.
Final Result: Fraction Form of 0.0519 After simplifying, we get the final fraction:
Answer: 0.0519 = 519/10000
Converting 0.0519 to a fraction results in 519/10000. 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.