Answer: 0.1290 as a fraction is 129/1000
Converting the decimal number 0.1290 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 0.1290 can be broken down as:
0.1290 = 0 + 0.129
Here, 0 is the whole number part, and 0.129 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.129, to a fraction. To do this, consider the place value of the decimal:
0.129 =
129
1000
Now, simplify the fraction 129/1000. To do this, find the greatest common divisor (GCD) of 129 and 1000.
Now, divide both the numerator and the denominator by their GCD:
129 ÷ 1
1000 ÷ 1
=
129
1000
So, 0.129 as a fraction is 129/1000
Step 4: Combine the Whole Number and FractionNow that you have 0.1290 = 0 + 0.129, express the entire number as a mixed fraction:
0.1290
= 0 +
129
1000
=
0
1000
+
129
1000
=
129
1000
Here, 0/1000 is the whole number 0, and 129/1000 is the fractional part.
Final Result: Fraction Form of 0.1290 After simplifying, we get the final fraction:
Answer: 0.1290 = 129/1000
Converting 0.1290 to a fraction results in 129/1000. 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.