Answer: 0.2450 as a fraction is 49/200
Converting the decimal number 0.2450 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 0.2450 can be broken down as:
0.2450 = 0 + 0.245
Here, 0 is the whole number part, and 0.245 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.245, to a fraction. To do this, consider the place value of the decimal:
0.245 =
245
1000
Now, simplify the fraction 245/1000. To do this, find the greatest common divisor (GCD) of 245 and 1000.
Now, divide both the numerator and the denominator by their GCD:
245 ÷ 5
1000 ÷ 5
=
49
200
So, 0.245 as a fraction is 49/200
Step 4: Combine the Whole Number and FractionNow that you have 0.2450 = 0 + 0.245, express the entire number as a mixed fraction:
0.2450
= 0 +
49
200
=
0
200
+
49
200
=
49
200
Here, 0/200 is the whole number 0, and 49/200 is the fractional part.
Final Result: Fraction Form of 0.2450 After simplifying, we get the final fraction:
Answer: 0.2450 = 49/200
Converting 0.2450 to a fraction results in 49/200. 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.