Answer: 0.9162 as a fraction is 4581/5000
Converting the decimal number 0.9162 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 0.9162 can be broken down as:
0.9162 = 0 + 0.9162
Here, 0 is the whole number part, and 0.9162 is the decimal part.
Focus on converting the decimal part, 0.9162, to a fraction. To do this, consider the place value of the decimal:
0.9162 =
9162
10000
Now, simplify the fraction 9162/10000. To do this, find the greatest common divisor (GCD) of 9162 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9162 ÷ 2
10000 ÷ 2
=
4581
5000
So, 0.9162 as a fraction is 4581/5000
Now that you have 0.9162 = 0 + 0.9162, express the entire number as a mixed fraction:
0.9162
= 0 +
4581
5000
=
0
5000
+
4581
5000
=
4581
5000
Here, 0/5000 is the whole number 0, and 4581/5000 is the fractional part.
Answer: 0.9162 = 4581/5000
Converting 0.9162 to a fraction results in 4581/5000. 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.