Answer: 0.1804 as a fraction is 451/2500
Converting the decimal number 0.1804 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 0.1804 can be broken down as:
0.1804 = 0 + 0.1804
Here, 0 is the whole number part, and 0.1804 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1804, to a fraction. To do this, consider the place value of the decimal:
0.1804 =
1804
10000
Now, simplify the fraction 1804/10000. To do this, find the greatest common divisor (GCD) of 1804 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1804 ÷ 4
10000 ÷ 4
=
451
2500
So, 0.1804 as a fraction is 451/2500
Step 4: Combine the Whole Number and FractionNow that you have 0.1804 = 0 + 0.1804, express the entire number as a mixed fraction:
0.1804
= 0 +
451
2500
=
0
2500
+
451
2500
=
451
2500
Here, 0/2500 is the whole number 0, and 451/2500 is the fractional part.
Final Result: Fraction Form of 0.1804 After simplifying, we get the final fraction:
Answer: 0.1804 = 451/2500
Converting 0.1804 to a fraction results in 451/2500. 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.