Answer: 0.0241 as a fraction is 241/10000
Converting the decimal number 0.0241 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 0.0241 can be broken down as:
0.0241 = 0 + 0.0241
Here, 0 is the whole number part, and 0.0241 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0241, to a fraction. To do this, consider the place value of the decimal:
0.0241 =
241
10000
Now, simplify the fraction 241/10000. To do this, find the greatest common divisor (GCD) of 241 and 10000.
Now, divide both the numerator and the denominator by their GCD:
241 ÷ 1
10000 ÷ 1
=
241
10000
So, 0.0241 as a fraction is 241/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0241 = 0 + 0.0241, express the entire number as a mixed fraction:
0.0241
= 0 +
241
10000
=
0
10000
+
241
10000
=
241
10000
Here, 0/10000 is the whole number 0, and 241/10000 is the fractional part.
Final Result: Fraction Form of 0.0241 After simplifying, we get the final fraction:
Answer: 0.0241 = 241/10000
Converting 0.0241 to a fraction results in 241/10000. 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.