Answer: 0.1884 as a fraction is 471/2500
Converting the decimal number 0.1884 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 0.1884 can be broken down as:
0.1884 = 0 + 0.1884
Here, 0 is the whole number part, and 0.1884 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1884, to a fraction. To do this, consider the place value of the decimal:
0.1884 =
1884
10000
Now, simplify the fraction 1884/10000. To do this, find the greatest common divisor (GCD) of 1884 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1884 ÷ 4
10000 ÷ 4
=
471
2500
So, 0.1884 as a fraction is 471/2500
Step 4: Combine the Whole Number and FractionNow that you have 0.1884 = 0 + 0.1884, express the entire number as a mixed fraction:
0.1884
= 0 +
471
2500
=
0
2500
+
471
2500
=
471
2500
Here, 0/2500 is the whole number 0, and 471/2500 is the fractional part.
Final Result: Fraction Form of 0.1884 After simplifying, we get the final fraction:
Answer: 0.1884 = 471/2500
Converting 0.1884 to a fraction results in 471/2500. 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.