Answer: 0.1304 as a fraction is 1304/10000
Converting the decimal number 0.1304 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 0.1304 can be broken down as:
0.1304 = 0 + 0.1304
Here, 0 is the whole number part, and 0.1304 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1304, to a fraction. To do this, consider the place value of the decimal:
0.1304 =
1304
10000
Now, simplify the fraction 1304/10000. To do this, find the greatest common divisor (GCD) of 1304 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1304 ÷ 1
10000 ÷ 1
=
1304
10000
So, 0.1304 as a fraction is 1304/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.1304 = 0 + 0.1304, express the entire number as a mixed fraction:
0.1304
= 0 +
1304
10000
=
0
10000
+
1304
10000
=
1304
10000
Here, 0/10000 is the whole number 0, and 1304/10000 is the fractional part.
Final Result: Fraction Form of 0.1304 After simplifying, we get the final fraction:
Answer: 0.1304 = 1304/10000
Converting 0.1304 to a fraction results in 1304/10000. 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.