Answer: 0.9232 as a fraction is 577/625
Converting the decimal number 0.9232 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 0.9232 can be broken down as:
0.9232 = 0 + 0.9232
Here, 0 is the whole number part, and 0.9232 is the decimal part.
Focus on converting the decimal part, 0.9232, to a fraction. To do this, consider the place value of the decimal:
0.9232 =
9232
10000
Now, simplify the fraction 9232/10000. To do this, find the greatest common divisor (GCD) of 9232 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9232 ÷ 16
10000 ÷ 16
=
577
625
So, 0.9232 as a fraction is 577/625
Now that you have 0.9232 = 0 + 0.9232, express the entire number as a mixed fraction:
0.9232
= 0 +
577
625
=
0
625
+
577
625
=
577
625
Here, 0/625 is the whole number 0, and 577/625 is the fractional part.
Answer: 0.9232 = 577/625
Converting 0.9232 to a fraction results in 577/625. 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.