Answer: 0.8670 as a fraction is 867/1000
Converting the decimal number 0.8670 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 0.8670 can be broken down as:
0.8670 = 0 + 0.867
Here, 0 is the whole number part, and 0.867 is the decimal part.
Focus on converting the decimal part, 0.867, to a fraction. To do this, consider the place value of the decimal:
0.867 =
867
1000
Now, simplify the fraction 867/1000. To do this, find the greatest common divisor (GCD) of 867 and 1000.
Now, divide both the numerator and the denominator by their GCD:
867 ÷ 1
1000 ÷ 1
=
867
1000
So, 0.867 as a fraction is 867/1000
Now that you have 0.8670 = 0 + 0.867, express the entire number as a mixed fraction:
0.8670
= 0 +
867
1000
=
0
1000
+
867
1000
=
867
1000
Here, 0/1000 is the whole number 0, and 867/1000 is the fractional part.
Answer: 0.8670 = 867/1000
Converting 0.8670 to a fraction results in 867/1000. 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.