Answer: 0.1109 as a fraction is 1109/10000
Converting the decimal number 0.1109 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 0.1109 can be broken down as:
0.1109 = 0 + 0.1109
Here, 0 is the whole number part, and 0.1109 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1109, to a fraction. To do this, consider the place value of the decimal:
0.1109 =
1109
10000
Now, simplify the fraction 1109/10000. To do this, find the greatest common divisor (GCD) of 1109 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1109 ÷ 1
10000 ÷ 1
=
1109
10000
So, 0.1109 as a fraction is 1109/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.1109 = 0 + 0.1109, express the entire number as a mixed fraction:
0.1109
= 0 +
1109
10000
=
0
10000
+
1109
10000
=
1109
10000
Here, 0/10000 is the whole number 0, and 1109/10000 is the fractional part.
Final Result: Fraction Form of 0.1109 After simplifying, we get the final fraction:
Answer: 0.1109 = 1109/10000
Converting 0.1109 to a fraction results in 1109/10000. 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.