Answer: 0.9296 as a fraction is 581/625
Converting the decimal number 0.9296 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 0.9296 can be broken down as:
0.9296 = 0 + 0.9296
Here, 0 is the whole number part, and 0.9296 is the decimal part.
Focus on converting the decimal part, 0.9296, to a fraction. To do this, consider the place value of the decimal:
0.9296 =
9296
10000
Now, simplify the fraction 9296/10000. To do this, find the greatest common divisor (GCD) of 9296 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9296 ÷ 16
10000 ÷ 16
=
581
625
So, 0.9296 as a fraction is 581/625
Now that you have 0.9296 = 0 + 0.9296, express the entire number as a mixed fraction:
0.9296
= 0 +
581
625
=
0
625
+
581
625
=
581
625
Here, 0/625 is the whole number 0, and 581/625 is the fractional part.
Answer: 0.9296 = 581/625
Converting 0.9296 to a fraction results in 581/625. 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.