Answer: 0.9056 as a fraction is 566/625
Converting the decimal number 0.9056 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 0.9056 can be broken down as:
0.9056 = 0 + 0.9056
Here, 0 is the whole number part, and 0.9056 is the decimal part.
Focus on converting the decimal part, 0.9056, to a fraction. To do this, consider the place value of the decimal:
0.9056 =
9056
10000
Now, simplify the fraction 9056/10000. To do this, find the greatest common divisor (GCD) of 9056 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9056 ÷ 16
10000 ÷ 16
=
566
625
So, 0.9056 as a fraction is 566/625
Now that you have 0.9056 = 0 + 0.9056, express the entire number as a mixed fraction:
0.9056
= 0 +
566
625
=
0
625
+
566
625
=
566
625
Here, 0/625 is the whole number 0, and 566/625 is the fractional part.
Answer: 0.9056 = 566/625
Converting 0.9056 to a fraction results in 566/625. 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.