Answer: 0.6594 as a fraction is 3297/5000
Converting the decimal number 0.6594 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 0.6594 can be broken down as:
0.6594 = 0 + 0.6594
Here, 0 is the whole number part, and 0.6594 is the decimal part.
Focus on converting the decimal part, 0.6594, to a fraction. To do this, consider the place value of the decimal:
0.6594 =
6594
10000
Now, simplify the fraction 6594/10000. To do this, find the greatest common divisor (GCD) of 6594 and 10000.
Now, divide both the numerator and the denominator by their GCD:
6594 ÷ 2
10000 ÷ 2
=
3297
5000
So, 0.6594 as a fraction is 3297/5000
Now that you have 0.6594 = 0 + 0.6594, express the entire number as a mixed fraction:
0.6594
= 0 +
3297
5000
=
0
5000
+
3297
5000
=
3297
5000
Here, 0/5000 is the whole number 0, and 3297/5000 is the fractional part.
Answer: 0.6594 = 3297/5000
Converting 0.6594 to a fraction results in 3297/5000. 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.