Answer: 0.1123 as a fraction is 1123/10000
Converting the decimal number 0.1123 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 0.1123 can be broken down as:
0.1123 = 0 + 0.1123
Here, 0 is the whole number part, and 0.1123 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1123, to a fraction. To do this, consider the place value of the decimal:
0.1123 =
1123
10000
Now, simplify the fraction 1123/10000. To do this, find the greatest common divisor (GCD) of 1123 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1123 ÷ 1
10000 ÷ 1
=
1123
10000
So, 0.1123 as a fraction is 1123/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.1123 = 0 + 0.1123, express the entire number as a mixed fraction:
0.1123
= 0 +
1123
10000
=
0
10000
+
1123
10000
=
1123
10000
Here, 0/10000 is the whole number 0, and 1123/10000 is the fractional part.
Final Result: Fraction Form of 0.1123 After simplifying, we get the final fraction:
Answer: 0.1123 = 1123/10000
Converting 0.1123 to a fraction results in 1123/10000. 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.