Answer: 0.1302 as a fraction is 651/5000
Converting the decimal number 0.1302 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 0.1302 can be broken down as:
0.1302 = 0 + 0.1302
Here, 0 is the whole number part, and 0.1302 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1302, to a fraction. To do this, consider the place value of the decimal:
0.1302 =
1302
10000
Now, simplify the fraction 1302/10000. To do this, find the greatest common divisor (GCD) of 1302 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1302 ÷ 2
10000 ÷ 2
=
651
5000
So, 0.1302 as a fraction is 651/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.1302 = 0 + 0.1302, express the entire number as a mixed fraction:
0.1302
= 0 +
651
5000
=
0
5000
+
651
5000
=
651
5000
Here, 0/5000 is the whole number 0, and 651/5000 is the fractional part.
Final Result: Fraction Form of 0.1302 After simplifying, we get the final fraction:
Answer: 0.1302 = 651/5000
Converting 0.1302 to a fraction results in 651/5000. 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.