Answer: 0.9164 as a fraction is 2291/2500
Converting the decimal number 0.9164 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 0.9164 can be broken down as:
0.9164 = 0 + 0.9164
Here, 0 is the whole number part, and 0.9164 is the decimal part.
Focus on converting the decimal part, 0.9164, to a fraction. To do this, consider the place value of the decimal:
0.9164 =
9164
10000
Now, simplify the fraction 9164/10000. To do this, find the greatest common divisor (GCD) of 9164 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9164 ÷ 4
10000 ÷ 4
=
2291
2500
So, 0.9164 as a fraction is 2291/2500
Now that you have 0.9164 = 0 + 0.9164, express the entire number as a mixed fraction:
0.9164
= 0 +
2291
2500
=
0
2500
+
2291
2500
=
2291
2500
Here, 0/2500 is the whole number 0, and 2291/2500 is the fractional part.
Answer: 0.9164 = 2291/2500
Converting 0.9164 to a fraction results in 2291/2500. 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.