Answer: 0.0319 as a fraction is 319/10000
Converting the decimal number 0.0319 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 0.0319 can be broken down as:
0.0319 = 0 + 0.0319
Here, 0 is the whole number part, and 0.0319 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0319, to a fraction. To do this, consider the place value of the decimal:
0.0319 =
319
10000
Now, simplify the fraction 319/10000. To do this, find the greatest common divisor (GCD) of 319 and 10000.
Now, divide both the numerator and the denominator by their GCD:
319 ÷ 1
10000 ÷ 1
=
319
10000
So, 0.0319 as a fraction is 319/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0319 = 0 + 0.0319, express the entire number as a mixed fraction:
0.0319
= 0 +
319
10000
=
0
10000
+
319
10000
=
319
10000
Here, 0/10000 is the whole number 0, and 319/10000 is the fractional part.
Final Result: Fraction Form of 0.0319 After simplifying, we get the final fraction:
Answer: 0.0319 = 319/10000
Converting 0.0319 to a fraction results in 319/10000. 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.