Answer: 0.9025 as a fraction is 361/400
Converting the decimal number 0.9025 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 0.9025 can be broken down as:
0.9025 = 0 + 0.9025
Here, 0 is the whole number part, and 0.9025 is the decimal part.
Focus on converting the decimal part, 0.9025, to a fraction. To do this, consider the place value of the decimal:
0.9025 =
9025
10000
Now, simplify the fraction 9025/10000. To do this, find the greatest common divisor (GCD) of 9025 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9025 ÷ 25
10000 ÷ 25
=
361
400
So, 0.9025 as a fraction is 361/400
Now that you have 0.9025 = 0 + 0.9025, express the entire number as a mixed fraction:
0.9025
= 0 +
361
400
=
0
400
+
361
400
=
361
400
Here, 0/400 is the whole number 0, and 361/400 is the fractional part.
Answer: 0.9025 = 361/400
Converting 0.9025 to a fraction results in 361/400. 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.