Answer: 0.1244 as a fraction is 311/2500
Converting the decimal number 0.1244 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 0.1244 can be broken down as:
0.1244 = 0 + 0.1244
Here, 0 is the whole number part, and 0.1244 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1244, to a fraction. To do this, consider the place value of the decimal:
0.1244 =
1244
10000
Now, simplify the fraction 1244/10000. To do this, find the greatest common divisor (GCD) of 1244 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1244 ÷ 4
10000 ÷ 4
=
311
2500
So, 0.1244 as a fraction is 311/2500
Step 4: Combine the Whole Number and FractionNow that you have 0.1244 = 0 + 0.1244, express the entire number as a mixed fraction:
0.1244
= 0 +
311
2500
=
0
2500
+
311
2500
=
311
2500
Here, 0/2500 is the whole number 0, and 311/2500 is the fractional part.
Final Result: Fraction Form of 0.1244 After simplifying, we get the final fraction:
Answer: 0.1244 = 311/2500
Converting 0.1244 to a fraction results in 311/2500. 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.