Answer: 0.1839 as a fraction is 1839/10000
Converting the decimal number 0.1839 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 0.1839 can be broken down as:
0.1839 = 0 + 0.1839
Here, 0 is the whole number part, and 0.1839 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1839, to a fraction. To do this, consider the place value of the decimal:
0.1839 =
1839
10000
Now, simplify the fraction 1839/10000. To do this, find the greatest common divisor (GCD) of 1839 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1839 ÷ 1
10000 ÷ 1
=
1839
10000
So, 0.1839 as a fraction is 1839/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.1839 = 0 + 0.1839, express the entire number as a mixed fraction:
0.1839
= 0 +
1839
10000
=
0
10000
+
1839
10000
=
1839
10000
Here, 0/10000 is the whole number 0, and 1839/10000 is the fractional part.
Final Result: Fraction Form of 0.1839 After simplifying, we get the final fraction:
Answer: 0.1839 = 1839/10000
Converting 0.1839 to a fraction results in 1839/10000. 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.