Answer: 0.9483 as a fraction is 9483/10000
Converting the decimal number 0.9483 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 0.9483 can be broken down as:
0.9483 = 0 + 0.9483
Here, 0 is the whole number part, and 0.9483 is the decimal part.
Focus on converting the decimal part, 0.9483, to a fraction. To do this, consider the place value of the decimal:
0.9483 =
9483
10000
Now, simplify the fraction 9483/10000. To do this, find the greatest common divisor (GCD) of 9483 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9483 ÷ 1
10000 ÷ 1
=
9483
10000
So, 0.9483 as a fraction is 9483/10000
Now that you have 0.9483 = 0 + 0.9483, express the entire number as a mixed fraction:
0.9483
= 0 +
9483
10000
=
0
10000
+
9483
10000
=
9483
10000
Here, 0/10000 is the whole number 0, and 9483/10000 is the fractional part.
Answer: 0.9483 = 9483/10000
Converting 0.9483 to a fraction results in 9483/10000. 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.