Answer: 0.9032 as a fraction is 1129/1250
Converting the decimal number 0.9032 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 0.9032 can be broken down as:
0.9032 = 0 + 0.9032
Here, 0 is the whole number part, and 0.9032 is the decimal part.
Focus on converting the decimal part, 0.9032, to a fraction. To do this, consider the place value of the decimal:
0.9032 =
9032
10000
Now, simplify the fraction 9032/10000. To do this, find the greatest common divisor (GCD) of 9032 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9032 ÷ 8
10000 ÷ 8
=
1129
1250
So, 0.9032 as a fraction is 1129/1250
Now that you have 0.9032 = 0 + 0.9032, express the entire number as a mixed fraction:
0.9032
= 0 +
1129
1250
=
0
1250
+
1129
1250
=
1129
1250
Here, 0/1250 is the whole number 0, and 1129/1250 is the fractional part.
Answer: 0.9032 = 1129/1250
Converting 0.9032 to a fraction results in 1129/1250. 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.