Answer: 0.0315 as a fraction is 63/2000
Converting the decimal number 0.0315 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 0.0315 can be broken down as:
0.0315 = 0 + 0.0315
Here, 0 is the whole number part, and 0.0315 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0315, to a fraction. To do this, consider the place value of the decimal:
0.0315 =
315
10000
Now, simplify the fraction 315/10000. To do this, find the greatest common divisor (GCD) of 315 and 10000.
Now, divide both the numerator and the denominator by their GCD:
315 ÷ 5
10000 ÷ 5
=
63
2000
So, 0.0315 as a fraction is 63/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.0315 = 0 + 0.0315, express the entire number as a mixed fraction:
0.0315
= 0 +
63
2000
=
0
2000
+
63
2000
=
63
2000
Here, 0/2000 is the whole number 0, and 63/2000 is the fractional part.
Final Result: Fraction Form of 0.0315 After simplifying, we get the final fraction:
Answer: 0.0315 = 63/2000
Converting 0.0315 to a fraction results in 63/2000. 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.