Answer: 0.8648 as a fraction is 1081/1250
Converting the decimal number 0.8648 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 0.8648 can be broken down as:
0.8648 = 0 + 0.8648
Here, 0 is the whole number part, and 0.8648 is the decimal part.
Focus on converting the decimal part, 0.8648, to a fraction. To do this, consider the place value of the decimal:
0.8648 =
8648
10000
Now, simplify the fraction 8648/10000. To do this, find the greatest common divisor (GCD) of 8648 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8648 ÷ 8
10000 ÷ 8
=
1081
1250
So, 0.8648 as a fraction is 1081/1250
Now that you have 0.8648 = 0 + 0.8648, express the entire number as a mixed fraction:
0.8648
= 0 +
1081
1250
=
0
1250
+
1081
1250
=
1081
1250
Here, 0/1250 is the whole number 0, and 1081/1250 is the fractional part.
Answer: 0.8648 = 1081/1250
Converting 0.8648 to a fraction results in 1081/1250. 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.