Answer: 0.1044 as a fraction is 261/2500
Converting the decimal number 0.1044 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 0.1044 can be broken down as:
0.1044 = 0 + 0.1044
Here, 0 is the whole number part, and 0.1044 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1044, to a fraction. To do this, consider the place value of the decimal:
0.1044 =
1044
10000
Now, simplify the fraction 1044/10000. To do this, find the greatest common divisor (GCD) of 1044 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1044 ÷ 4
10000 ÷ 4
=
261
2500
So, 0.1044 as a fraction is 261/2500
Step 4: Combine the Whole Number and FractionNow that you have 0.1044 = 0 + 0.1044, express the entire number as a mixed fraction:
0.1044
= 0 +
261
2500
=
0
2500
+
261
2500
=
261
2500
Here, 0/2500 is the whole number 0, and 261/2500 is the fractional part.
Final Result: Fraction Form of 0.1044 After simplifying, we get the final fraction:
Answer: 0.1044 = 261/2500
Converting 0.1044 to a fraction results in 261/2500. 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.