Answer: 0.1260 as a fraction is 63/500
Converting the decimal number 0.1260 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 0.1260 can be broken down as:
0.1260 = 0 + 0.126
Here, 0 is the whole number part, and 0.126 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.126, to a fraction. To do this, consider the place value of the decimal:
0.126 =
126
1000
Now, simplify the fraction 126/1000. To do this, find the greatest common divisor (GCD) of 126 and 1000.
Now, divide both the numerator and the denominator by their GCD:
126 ÷ 2
1000 ÷ 2
=
63
500
So, 0.126 as a fraction is 63/500
Step 4: Combine the Whole Number and FractionNow that you have 0.1260 = 0 + 0.126, express the entire number as a mixed fraction:
0.1260
= 0 +
63
500
=
0
500
+
63
500
=
63
500
Here, 0/500 is the whole number 0, and 63/500 is the fractional part.
Final Result: Fraction Form of 0.1260 After simplifying, we get the final fraction:
Answer: 0.1260 = 63/500
Converting 0.1260 to a fraction results in 63/500. 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.