Answer: 0.1119 as a fraction is 1119/10000
Converting the decimal number 0.1119 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 0.1119 can be broken down as:
0.1119 = 0 + 0.1119
Here, 0 is the whole number part, and 0.1119 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1119, to a fraction. To do this, consider the place value of the decimal:
0.1119 =
1119
10000
Now, simplify the fraction 1119/10000. To do this, find the greatest common divisor (GCD) of 1119 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1119 ÷ 1
10000 ÷ 1
=
1119
10000
So, 0.1119 as a fraction is 1119/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.1119 = 0 + 0.1119, express the entire number as a mixed fraction:
0.1119
= 0 +
1119
10000
=
0
10000
+
1119
10000
=
1119
10000
Here, 0/10000 is the whole number 0, and 1119/10000 is the fractional part.
Final Result: Fraction Form of 0.1119 After simplifying, we get the final fraction:
Answer: 0.1119 = 1119/10000
Converting 0.1119 to a fraction results in 1119/10000. 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.