Answer: 0.9156 as a fraction is 2289/2500
Converting the decimal number 0.9156 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 0.9156 can be broken down as:
0.9156 = 0 + 0.9156
Here, 0 is the whole number part, and 0.9156 is the decimal part.
Focus on converting the decimal part, 0.9156, to a fraction. To do this, consider the place value of the decimal:
0.9156 =
9156
10000
Now, simplify the fraction 9156/10000. To do this, find the greatest common divisor (GCD) of 9156 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9156 ÷ 4
10000 ÷ 4
=
2289
2500
So, 0.9156 as a fraction is 2289/2500
Now that you have 0.9156 = 0 + 0.9156, express the entire number as a mixed fraction:
0.9156
= 0 +
2289
2500
=
0
2500
+
2289
2500
=
2289
2500
Here, 0/2500 is the whole number 0, and 2289/2500 is the fractional part.
Answer: 0.9156 = 2289/2500
Converting 0.9156 to a fraction results in 2289/2500. 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.