Answer: 0.9166 as a fraction is 4583/5000
Converting the decimal number 0.9166 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 0.9166 can be broken down as:
0.9166 = 0 + 0.9166
Here, 0 is the whole number part, and 0.9166 is the decimal part.
Focus on converting the decimal part, 0.9166, to a fraction. To do this, consider the place value of the decimal:
0.9166 =
9166
10000
Now, simplify the fraction 9166/10000. To do this, find the greatest common divisor (GCD) of 9166 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9166 ÷ 2
10000 ÷ 2
=
4583
5000
So, 0.9166 as a fraction is 4583/5000
Now that you have 0.9166 = 0 + 0.9166, express the entire number as a mixed fraction:
0.9166
= 0 +
4583
5000
=
0
5000
+
4583
5000
=
4583
5000
Here, 0/5000 is the whole number 0, and 4583/5000 is the fractional part.
Answer: 0.9166 = 4583/5000
Converting 0.9166 to a fraction results in 4583/5000. 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.