Answer: 0.4258 as a fraction is 2129/5000
Converting the decimal number 0.4258 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 0.4258 can be broken down as:
0.4258 = 0 + 0.4258
Here, 0 is the whole number part, and 0.4258 is the decimal part.
Focus on converting the decimal part, 0.4258, to a fraction. To do this, consider the place value of the decimal:
0.4258 =
4258
10000
Now, simplify the fraction 4258/10000. To do this, find the greatest common divisor (GCD) of 4258 and 10000.
Now, divide both the numerator and the denominator by their GCD:
4258 ÷ 2
10000 ÷ 2
=
2129
5000
So, 0.4258 as a fraction is 2129/5000
Now that you have 0.4258 = 0 + 0.4258, express the entire number as a mixed fraction:
0.4258
= 0 +
2129
5000
=
0
5000
+
2129
5000
=
2129
5000
Here, 0/5000 is the whole number 0, and 2129/5000 is the fractional part.
Answer: 0.4258 = 2129/5000
Converting 0.4258 to a fraction results in 2129/5000. 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.