Answer: 0.6627 as a fraction is 6627/10000
Converting the decimal number 0.6627 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 0.6627 can be broken down as:
0.6627 = 0 + 0.6627
Here, 0 is the whole number part, and 0.6627 is the decimal part.
Focus on converting the decimal part, 0.6627, to a fraction. To do this, consider the place value of the decimal:
0.6627 =
6627
10000
Now, simplify the fraction 6627/10000. To do this, find the greatest common divisor (GCD) of 6627 and 10000.
Now, divide both the numerator and the denominator by their GCD:
6627 ÷ 1
10000 ÷ 1
=
6627
10000
So, 0.6627 as a fraction is 6627/10000
Now that you have 0.6627 = 0 + 0.6627, express the entire number as a mixed fraction:
0.6627
= 0 +
6627
10000
=
0
10000
+
6627
10000
=
6627
10000
Here, 0/10000 is the whole number 0, and 6627/10000 is the fractional part.
Answer: 0.6627 = 6627/10000
Converting 0.6627 to a fraction results in 6627/10000. 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.