Answer: 0.1316 as a fraction is 329/2500
Converting the decimal number 0.1316 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 0.1316 can be broken down as:
0.1316 = 0 + 0.1316
Here, 0 is the whole number part, and 0.1316 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1316, to a fraction. To do this, consider the place value of the decimal:
0.1316 =
1316
10000
Now, simplify the fraction 1316/10000. To do this, find the greatest common divisor (GCD) of 1316 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1316 ÷ 4
10000 ÷ 4
=
329
2500
So, 0.1316 as a fraction is 329/2500
Step 4: Combine the Whole Number and FractionNow that you have 0.1316 = 0 + 0.1316, express the entire number as a mixed fraction:
0.1316
= 0 +
329
2500
=
0
2500
+
329
2500
=
329
2500
Here, 0/2500 is the whole number 0, and 329/2500 is the fractional part.
Final Result: Fraction Form of 0.1316 After simplifying, we get the final fraction:
Answer: 0.1316 = 329/2500
Converting 0.1316 to a fraction results in 329/2500. 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.