Answer: 0.6513 as a fraction is 6513/10000
Converting the decimal number 0.6513 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 0.6513 can be broken down as:
0.6513 = 0 + 0.6513
Here, 0 is the whole number part, and 0.6513 is the decimal part.
Focus on converting the decimal part, 0.6513, to a fraction. To do this, consider the place value of the decimal:
0.6513 =
6513
10000
Now, simplify the fraction 6513/10000. To do this, find the greatest common divisor (GCD) of 6513 and 10000.
Now, divide both the numerator and the denominator by their GCD:
6513 ÷ 1
10000 ÷ 1
=
6513
10000
So, 0.6513 as a fraction is 6513/10000
Now that you have 0.6513 = 0 + 0.6513, express the entire number as a mixed fraction:
0.6513
= 0 +
6513
10000
=
0
10000
+
6513
10000
=
6513
10000
Here, 0/10000 is the whole number 0, and 6513/10000 is the fractional part.
Answer: 0.6513 = 6513/10000
Converting 0.6513 to a fraction results in 6513/10000. 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.