Answer: 0.9165 as a fraction is 1833/2000
Converting the decimal number 0.9165 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 0.9165 can be broken down as:
0.9165 = 0 + 0.9165
Here, 0 is the whole number part, and 0.9165 is the decimal part.
Focus on converting the decimal part, 0.9165, to a fraction. To do this, consider the place value of the decimal:
0.9165 =
9165
10000
Now, simplify the fraction 9165/10000. To do this, find the greatest common divisor (GCD) of 9165 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9165 ÷ 5
10000 ÷ 5
=
1833
2000
So, 0.9165 as a fraction is 1833/2000
Now that you have 0.9165 = 0 + 0.9165, express the entire number as a mixed fraction:
0.9165
= 0 +
1833
2000
=
0
2000
+
1833
2000
=
1833
2000
Here, 0/2000 is the whole number 0, and 1833/2000 is the fractional part.
Answer: 0.9165 = 1833/2000
Converting 0.9165 to a fraction results in 1833/2000. 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.