Answer: 0.6692 as a fraction is 1673/2500
Converting the decimal number 0.6692 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 0.6692 can be broken down as:
0.6692 = 0 + 0.6692
Here, 0 is the whole number part, and 0.6692 is the decimal part.
Focus on converting the decimal part, 0.6692, to a fraction. To do this, consider the place value of the decimal:
0.6692 =
6692
10000
Now, simplify the fraction 6692/10000. To do this, find the greatest common divisor (GCD) of 6692 and 10000.
Now, divide both the numerator and the denominator by their GCD:
6692 ÷ 4
10000 ÷ 4
=
1673
2500
So, 0.6692 as a fraction is 1673/2500
Now that you have 0.6692 = 0 + 0.6692, express the entire number as a mixed fraction:
0.6692
= 0 +
1673
2500
=
0
2500
+
1673
2500
=
1673
2500
Here, 0/2500 is the whole number 0, and 1673/2500 is the fractional part.
Answer: 0.6692 = 1673/2500
Converting 0.6692 to a fraction results in 1673/2500. 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.