Answer: 0.9146 as a fraction is 4573/5000
Converting the decimal number 0.9146 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 0.9146 can be broken down as:
0.9146 = 0 + 0.9146
Here, 0 is the whole number part, and 0.9146 is the decimal part.
Focus on converting the decimal part, 0.9146, to a fraction. To do this, consider the place value of the decimal:
0.9146 =
9146
10000
Now, simplify the fraction 9146/10000. To do this, find the greatest common divisor (GCD) of 9146 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9146 ÷ 2
10000 ÷ 2
=
4573
5000
So, 0.9146 as a fraction is 4573/5000
Now that you have 0.9146 = 0 + 0.9146, express the entire number as a mixed fraction:
0.9146
= 0 +
4573
5000
=
0
5000
+
4573
5000
=
4573
5000
Here, 0/5000 is the whole number 0, and 4573/5000 is the fractional part.
Answer: 0.9146 = 4573/5000
Converting 0.9146 to a fraction results in 4573/5000. 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.