Answer: 0.4907 as a fraction is 4907/10000
Converting the decimal number 0.4907 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 0.4907 can be broken down as:
0.4907 = 0 + 0.4907
Here, 0 is the whole number part, and 0.4907 is the decimal part.
Focus on converting the decimal part, 0.4907, to a fraction. To do this, consider the place value of the decimal:
0.4907 =
4907
10000
Now, simplify the fraction 4907/10000. To do this, find the greatest common divisor (GCD) of 4907 and 10000.
Now, divide both the numerator and the denominator by their GCD:
4907 ÷ 1
10000 ÷ 1
=
4907
10000
So, 0.4907 as a fraction is 4907/10000
Now that you have 0.4907 = 0 + 0.4907, express the entire number as a mixed fraction:
0.4907
= 0 +
4907
10000
=
0
10000
+
4907
10000
=
4907
10000
Here, 0/10000 is the whole number 0, and 4907/10000 is the fractional part.
Answer: 0.4907 = 4907/10000
Converting 0.4907 to a fraction results in 4907/10000. 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.