Answer: 0.9325 as a fraction is 373/400
Converting the decimal number 0.9325 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 0.9325 can be broken down as:
0.9325 = 0 + 0.9325
Here, 0 is the whole number part, and 0.9325 is the decimal part.
Focus on converting the decimal part, 0.9325, to a fraction. To do this, consider the place value of the decimal:
0.9325 =
9325
10000
Now, simplify the fraction 9325/10000. To do this, find the greatest common divisor (GCD) of 9325 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9325 ÷ 25
10000 ÷ 25
=
373
400
So, 0.9325 as a fraction is 373/400
Now that you have 0.9325 = 0 + 0.9325, express the entire number as a mixed fraction:
0.9325
= 0 +
373
400
=
0
400
+
373
400
=
373
400
Here, 0/400 is the whole number 0, and 373/400 is the fractional part.
Answer: 0.9325 = 373/400
Converting 0.9325 to a fraction results in 373/400. 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.