Answer: 0.1249 as a fraction is 1249/10000
Converting the decimal number 0.1249 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 0.1249 can be broken down as:
0.1249 = 0 + 0.1249
Here, 0 is the whole number part, and 0.1249 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1249, to a fraction. To do this, consider the place value of the decimal:
0.1249 =
1249
10000
Now, simplify the fraction 1249/10000. To do this, find the greatest common divisor (GCD) of 1249 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1249 ÷ 1
10000 ÷ 1
=
1249
10000
So, 0.1249 as a fraction is 1249/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.1249 = 0 + 0.1249, express the entire number as a mixed fraction:
0.1249
= 0 +
1249
10000
=
0
10000
+
1249
10000
=
1249
10000
Here, 0/10000 is the whole number 0, and 1249/10000 is the fractional part.
Final Result: Fraction Form of 0.1249 After simplifying, we get the final fraction:
Answer: 0.1249 = 1249/10000
Converting 0.1249 to a fraction results in 1249/10000. 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.