Answer: 0.9040 as a fraction is 113/125
Converting the decimal number 0.9040 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 0.9040 can be broken down as:
0.9040 = 0 + 0.904
Here, 0 is the whole number part, and 0.904 is the decimal part.
Focus on converting the decimal part, 0.904, to a fraction. To do this, consider the place value of the decimal:
0.904 =
904
1000
Now, simplify the fraction 904/1000. To do this, find the greatest common divisor (GCD) of 904 and 1000.
Now, divide both the numerator and the denominator by their GCD:
904 ÷ 8
1000 ÷ 8
=
113
125
So, 0.904 as a fraction is 113/125
Now that you have 0.9040 = 0 + 0.904, express the entire number as a mixed fraction:
0.9040
= 0 +
113
125
=
0
125
+
113
125
=
113
125
Here, 0/125 is the whole number 0, and 113/125 is the fractional part.
Answer: 0.9040 = 113/125
Converting 0.9040 to a fraction results in 113/125. 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.