Answer: 0.9024 as a fraction is 564/625
Converting the decimal number 0.9024 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 0.9024 can be broken down as:
0.9024 = 0 + 0.9024
Here, 0 is the whole number part, and 0.9024 is the decimal part.
Focus on converting the decimal part, 0.9024, to a fraction. To do this, consider the place value of the decimal:
0.9024 =
9024
10000
Now, simplify the fraction 9024/10000. To do this, find the greatest common divisor (GCD) of 9024 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9024 ÷ 16
10000 ÷ 16
=
564
625
So, 0.9024 as a fraction is 564/625
Now that you have 0.9024 = 0 + 0.9024, express the entire number as a mixed fraction:
0.9024
= 0 +
564
625
=
0
625
+
564
625
=
564
625
Here, 0/625 is the whole number 0, and 564/625 is the fractional part.
Answer: 0.9024 = 564/625
Converting 0.9024 to a fraction results in 564/625. 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.