Answer: 0.1235 as a fraction is 247/2000
Converting the decimal number 0.1235 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 0.1235 can be broken down as:
0.1235 = 0 + 0.1235
Here, 0 is the whole number part, and 0.1235 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1235, to a fraction. To do this, consider the place value of the decimal:
0.1235 =
1235
10000
Now, simplify the fraction 1235/10000. To do this, find the greatest common divisor (GCD) of 1235 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1235 ÷ 5
10000 ÷ 5
=
247
2000
So, 0.1235 as a fraction is 247/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.1235 = 0 + 0.1235, express the entire number as a mixed fraction:
0.1235
= 0 +
247
2000
=
0
2000
+
247
2000
=
247
2000
Here, 0/2000 is the whole number 0, and 247/2000 is the fractional part.
Final Result: Fraction Form of 0.1235 After simplifying, we get the final fraction:
Answer: 0.1235 = 247/2000
Converting 0.1235 to a fraction results in 247/2000. 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.