Answer: 0.6241 as a fraction is 6241/10000
Converting the decimal number 0.6241 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.
The decimal 0.6241 can be broken down as:
0.6241 = 0 + 0.6241
Here, 0 is the whole number part, and 0.6241 is the decimal part.
Focus on converting the decimal part, 0.6241, to a fraction. To do this, consider the place value of the decimal:
0.6241 =
6241
10000
Now, simplify the fraction 6241/10000. To do this, find the greatest common divisor (GCD) of 6241 and 10000.
Now, divide both the numerator and the denominator by their GCD:
6241 ÷ 1
10000 ÷ 1
=
6241
10000
So, 0.6241 as a fraction is 6241/10000
Now that you have 0.6241 = 0 + 0.6241, express the entire number as a mixed fraction:
0.6241
= 0 +
6241
10000
=
0
10000
+
6241
10000
=
6241
10000
Here, 0/10000 is the whole number 0, and 6241/10000 is the fractional part.
Answer: 0.6241 = 6241/10000
Converting 0.6241 to a fraction results in 6241/10000. 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.