Answer: 0.9135 as a fraction is 1827/2000
Converting the decimal number 0.9135 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 0.9135 can be broken down as:
0.9135 = 0 + 0.9135
Here, 0 is the whole number part, and 0.9135 is the decimal part.
Focus on converting the decimal part, 0.9135, to a fraction. To do this, consider the place value of the decimal:
0.9135 =
9135
10000
Now, simplify the fraction 9135/10000. To do this, find the greatest common divisor (GCD) of 9135 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9135 ÷ 5
10000 ÷ 5
=
1827
2000
So, 0.9135 as a fraction is 1827/2000
Now that you have 0.9135 = 0 + 0.9135, express the entire number as a mixed fraction:
0.9135
= 0 +
1827
2000
=
0
2000
+
1827
2000
=
1827
2000
Here, 0/2000 is the whole number 0, and 1827/2000 is the fractional part.
Answer: 0.9135 = 1827/2000
Converting 0.9135 to a fraction results in 1827/2000. 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.