Answer: 0.4308 as a fraction is 1077/2500
Converting the decimal number 0.4308 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 0.4308 can be broken down as:
0.4308 = 0 + 0.4308
Here, 0 is the whole number part, and 0.4308 is the decimal part.
Focus on converting the decimal part, 0.4308, to a fraction. To do this, consider the place value of the decimal:
0.4308 =
4308
10000
Now, simplify the fraction 4308/10000. To do this, find the greatest common divisor (GCD) of 4308 and 10000.
Now, divide both the numerator and the denominator by their GCD:
4308 ÷ 4
10000 ÷ 4
=
1077
2500
So, 0.4308 as a fraction is 1077/2500
Now that you have 0.4308 = 0 + 0.4308, express the entire number as a mixed fraction:
0.4308
= 0 +
1077
2500
=
0
2500
+
1077
2500
=
1077
2500
Here, 0/2500 is the whole number 0, and 1077/2500 is the fractional part.
Answer: 0.4308 = 1077/2500
Converting 0.4308 to a fraction results in 1077/2500. 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.