Answer: 0.6270 as a fraction is 627/1000
Converting the decimal number 0.6270 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 0.6270 can be broken down as:
0.6270 = 0 + 0.627
Here, 0 is the whole number part, and 0.627 is the decimal part.
Focus on converting the decimal part, 0.627, to a fraction. To do this, consider the place value of the decimal:
0.627 =
627
1000
Now, simplify the fraction 627/1000. To do this, find the greatest common divisor (GCD) of 627 and 1000.
Now, divide both the numerator and the denominator by their GCD:
627 ÷ 1
1000 ÷ 1
=
627
1000
So, 0.627 as a fraction is 627/1000
Now that you have 0.6270 = 0 + 0.627, express the entire number as a mixed fraction:
0.6270
= 0 +
627
1000
=
0
1000
+
627
1000
=
627
1000
Here, 0/1000 is the whole number 0, and 627/1000 is the fractional part.
Answer: 0.6270 = 627/1000
Converting 0.6270 to a fraction results in 627/1000. 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.