Answer: 0.1262 as a fraction is 631/5000
Converting the decimal number 0.1262 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 0.1262 can be broken down as:
0.1262 = 0 + 0.1262
Here, 0 is the whole number part, and 0.1262 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1262, to a fraction. To do this, consider the place value of the decimal:
0.1262 =
1262
10000
Now, simplify the fraction 1262/10000. To do this, find the greatest common divisor (GCD) of 1262 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1262 ÷ 2
10000 ÷ 2
=
631
5000
So, 0.1262 as a fraction is 631/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.1262 = 0 + 0.1262, express the entire number as a mixed fraction:
0.1262
= 0 +
631
5000
=
0
5000
+
631
5000
=
631
5000
Here, 0/5000 is the whole number 0, and 631/5000 is the fractional part.
Final Result: Fraction Form of 0.1262 After simplifying, we get the final fraction:
Answer: 0.1262 = 631/5000
Converting 0.1262 to a fraction results in 631/5000. 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.