Answer: 0.9139 as a fraction is 9139/10000
Converting the decimal number 0.9139 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 0.9139 can be broken down as:
0.9139 = 0 + 0.9139
Here, 0 is the whole number part, and 0.9139 is the decimal part.
Focus on converting the decimal part, 0.9139, to a fraction. To do this, consider the place value of the decimal:
0.9139 =
9139
10000
Now, simplify the fraction 9139/10000. To do this, find the greatest common divisor (GCD) of 9139 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9139 ÷ 1
10000 ÷ 1
=
9139
10000
So, 0.9139 as a fraction is 9139/10000
Now that you have 0.9139 = 0 + 0.9139, express the entire number as a mixed fraction:
0.9139
= 0 +
9139
10000
=
0
10000
+
9139
10000
=
9139
10000
Here, 0/10000 is the whole number 0, and 9139/10000 is the fractional part.
Answer: 0.9139 = 9139/10000
Converting 0.9139 to a fraction results in 9139/10000. 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.