Answer: 0.1991 as a fraction is 1991/10000
Converting the decimal number 0.1991 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 0.1991 can be broken down as:
0.1991 = 0 + 0.1991
Here, 0 is the whole number part, and 0.1991 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1991, to a fraction. To do this, consider the place value of the decimal:
0.1991 =
1991
10000
Now, simplify the fraction 1991/10000. To do this, find the greatest common divisor (GCD) of 1991 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1991 ÷ 1
10000 ÷ 1
=
1991
10000
So, 0.1991 as a fraction is 1991/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.1991 = 0 + 0.1991, express the entire number as a mixed fraction:
0.1991
= 0 +
1991
10000
=
0
10000
+
1991
10000
=
1991
10000
Here, 0/10000 is the whole number 0, and 1991/10000 is the fractional part.
Final Result: Fraction Form of 0.1991 After simplifying, we get the final fraction:
Answer: 0.1991 = 1991/10000
Converting 0.1991 to a fraction results in 1991/10000. 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.