Answer: 0.9132 as a fraction is 2283/2500
Converting the decimal number 0.9132 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 0.9132 can be broken down as:
0.9132 = 0 + 0.9132
Here, 0 is the whole number part, and 0.9132 is the decimal part.
Focus on converting the decimal part, 0.9132, to a fraction. To do this, consider the place value of the decimal:
0.9132 =
9132
10000
Now, simplify the fraction 9132/10000. To do this, find the greatest common divisor (GCD) of 9132 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9132 ÷ 4
10000 ÷ 4
=
2283
2500
So, 0.9132 as a fraction is 2283/2500
Now that you have 0.9132 = 0 + 0.9132, express the entire number as a mixed fraction:
0.9132
= 0 +
2283
2500
=
0
2500
+
2283
2500
=
2283
2500
Here, 0/2500 is the whole number 0, and 2283/2500 is the fractional part.
Answer: 0.9132 = 2283/2500
Converting 0.9132 to a fraction results in 2283/2500. 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.