Answer: 0.0247 as a fraction is 247/10000
Converting the decimal number 0.0247 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 0.0247 can be broken down as:
0.0247 = 0 + 0.0247
Here, 0 is the whole number part, and 0.0247 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0247, to a fraction. To do this, consider the place value of the decimal:
0.0247 =
247
10000
Now, simplify the fraction 247/10000. To do this, find the greatest common divisor (GCD) of 247 and 10000.
Now, divide both the numerator and the denominator by their GCD:
247 ÷ 1
10000 ÷ 1
=
247
10000
So, 0.0247 as a fraction is 247/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0247 = 0 + 0.0247, express the entire number as a mixed fraction:
0.0247
= 0 +
247
10000
=
0
10000
+
247
10000
=
247
10000
Here, 0/10000 is the whole number 0, and 247/10000 is the fractional part.
Final Result: Fraction Form of 0.0247 After simplifying, we get the final fraction:
Answer: 0.0247 = 247/10000
Converting 0.0247 to a fraction results in 247/10000. 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.