Answer: 0.1995 as a fraction is 399/2000
Converting the decimal number 0.1995 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 0.1995 can be broken down as:
0.1995 = 0 + 0.1995
Here, 0 is the whole number part, and 0.1995 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1995, to a fraction. To do this, consider the place value of the decimal:
0.1995 =
1995
10000
Now, simplify the fraction 1995/10000. To do this, find the greatest common divisor (GCD) of 1995 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1995 ÷ 5
10000 ÷ 5
=
399
2000
So, 0.1995 as a fraction is 399/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.1995 = 0 + 0.1995, express the entire number as a mixed fraction:
0.1995
= 0 +
399
2000
=
0
2000
+
399
2000
=
399
2000
Here, 0/2000 is the whole number 0, and 399/2000 is the fractional part.
Final Result: Fraction Form of 0.1995 After simplifying, we get the final fraction:
Answer: 0.1995 = 399/2000
Converting 0.1995 to a fraction results in 399/2000. 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.