Answer: 0.0316 as a fraction is 79/2500
Converting the decimal number 0.0316 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 0.0316 can be broken down as:
0.0316 = 0 + 0.0316
Here, 0 is the whole number part, and 0.0316 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0316, to a fraction. To do this, consider the place value of the decimal:
0.0316 =
316
10000
Now, simplify the fraction 316/10000. To do this, find the greatest common divisor (GCD) of 316 and 10000.
Now, divide both the numerator and the denominator by their GCD:
316 ÷ 4
10000 ÷ 4
=
79
2500
So, 0.0316 as a fraction is 79/2500
Step 4: Combine the Whole Number and FractionNow that you have 0.0316 = 0 + 0.0316, express the entire number as a mixed fraction:
0.0316
= 0 +
79
2500
=
0
2500
+
79
2500
=
79
2500
Here, 0/2500 is the whole number 0, and 79/2500 is the fractional part.
Final Result: Fraction Form of 0.0316 After simplifying, we get the final fraction:
Answer: 0.0316 = 79/2500
Converting 0.0316 to a fraction results in 79/2500. 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.