Answer: 0.9075 as a fraction is 363/400
Converting the decimal number 0.9075 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 0.9075 can be broken down as:
0.9075 = 0 + 0.9075
Here, 0 is the whole number part, and 0.9075 is the decimal part.
Focus on converting the decimal part, 0.9075, to a fraction. To do this, consider the place value of the decimal:
0.9075 =
9075
10000
Now, simplify the fraction 9075/10000. To do this, find the greatest common divisor (GCD) of 9075 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9075 ÷ 25
10000 ÷ 25
=
363
400
So, 0.9075 as a fraction is 363/400
Now that you have 0.9075 = 0 + 0.9075, express the entire number as a mixed fraction:
0.9075
= 0 +
363
400
=
0
400
+
363
400
=
363
400
Here, 0/400 is the whole number 0, and 363/400 is the fractional part.
Answer: 0.9075 = 363/400
Converting 0.9075 to a fraction results in 363/400. 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.