Answer: 0.9130 as a fraction is 913/1000
Converting the decimal number 0.9130 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 0.9130 can be broken down as:
0.9130 = 0 + 0.913
Here, 0 is the whole number part, and 0.913 is the decimal part.
Focus on converting the decimal part, 0.913, to a fraction. To do this, consider the place value of the decimal:
0.913 =
913
1000
Now, simplify the fraction 913/1000. To do this, find the greatest common divisor (GCD) of 913 and 1000.
Now, divide both the numerator and the denominator by their GCD:
913 ÷ 1
1000 ÷ 1
=
913
1000
So, 0.913 as a fraction is 913/1000
Now that you have 0.9130 = 0 + 0.913, express the entire number as a mixed fraction:
0.9130
= 0 +
913
1000
=
0
1000
+
913
1000
=
913
1000
Here, 0/1000 is the whole number 0, and 913/1000 is the fractional part.
Answer: 0.9130 = 913/1000
Converting 0.9130 to a fraction results in 913/1000. 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.