Answer: 0.0991 as a fraction is 99.1/1000
Converting the decimal number 0.0991 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 0.0991 can be broken down as:
0.0991 = 0 + 0.0991
Here, 0 is the whole number part, and 0.0991 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0991, to a fraction. To do this, consider the place value of the decimal:
0.0991 =
991
10000
Now, simplify the fraction 991/10000. To do this, find the greatest common divisor (GCD) of 991 and 10000.
Now, divide both the numerator and the denominator by their GCD:
991 ÷ 10
10000 ÷ 10
=
99.1
1000
So, 0.0991 as a fraction is 99.1/1000
Step 4: Combine the Whole Number and FractionNow that you have 0.0991 = 0 + 0.0991, express the entire number as a mixed fraction:
0.0991
= 0 +
99.1
1000
=
0
1000
+
99.1
1000
=
99.1
1000
Here, 0/1000 is the whole number 0, and 99.1/1000 is the fractional part.
Final Result: Fraction Form of 0.0991 After simplifying, we get the final fraction:
Answer: 0.0991 = 99.1/1000
Converting 0.0991 to a fraction results in 99.1/1000. 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.