Answer: 0.9076 as a fraction is 2269/2500
Converting the decimal number 0.9076 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 0.9076 can be broken down as:
0.9076 = 0 + 0.9076
Here, 0 is the whole number part, and 0.9076 is the decimal part.
Focus on converting the decimal part, 0.9076, to a fraction. To do this, consider the place value of the decimal:
0.9076 =
9076
10000
Now, simplify the fraction 9076/10000. To do this, find the greatest common divisor (GCD) of 9076 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9076 ÷ 4
10000 ÷ 4
=
2269
2500
So, 0.9076 as a fraction is 2269/2500
Now that you have 0.9076 = 0 + 0.9076, express the entire number as a mixed fraction:
0.9076
= 0 +
2269
2500
=
0
2500
+
2269
2500
=
2269
2500
Here, 0/2500 is the whole number 0, and 2269/2500 is the fractional part.
Answer: 0.9076 = 2269/2500
Converting 0.9076 to a fraction results in 2269/2500. 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.