Answer: 1.0431 as a fraction is 1043.1/1000
Converting the decimal number 1.0431 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 1.0431 can be broken down as:
1.0431 = 1 + 0.0431
Here, 1 is the whole number part, and 0.0431 is the decimal part.
Focus on converting the decimal part, 0.0431, to a fraction. To do this, consider the place value of the decimal:
0.0431 =
431
10000
Now, simplify the fraction 431/10000. To do this, find the greatest common divisor (GCD) of 431 and 10000.
Now, divide both the numerator and the denominator by their GCD:
431 ÷ 10
10000 ÷ 10
=
43.1
1000
So, 0.0431 as a fraction is 43.1/1000
Now that you have 1.0431 = 1 + 0.0431, express the entire number as a mixed fraction:
1.0431
= 1 +
43.1
1000
=
1000
1000
+
43.1
1000
=
1043.1
1000
Here, 1000/1000 is the whole number 1, and 43.1/1000 is the fractional part.
Answer: 1.0431 = 1043.1/1000
Converting 1.0431 to a fraction results in 1043.1/1000. 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.