Answer: 0.8656 as a fraction is 541/625
Converting the decimal number 0.8656 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 0.8656 can be broken down as:
0.8656 = 0 + 0.8656
Here, 0 is the whole number part, and 0.8656 is the decimal part.
Focus on converting the decimal part, 0.8656, to a fraction. To do this, consider the place value of the decimal:
0.8656 =
8656
10000
Now, simplify the fraction 8656/10000. To do this, find the greatest common divisor (GCD) of 8656 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8656 ÷ 16
10000 ÷ 16
=
541
625
So, 0.8656 as a fraction is 541/625
Now that you have 0.8656 = 0 + 0.8656, express the entire number as a mixed fraction:
0.8656
= 0 +
541
625
=
0
625
+
541
625
=
541
625
Here, 0/625 is the whole number 0, and 541/625 is the fractional part.
Answer: 0.8656 = 541/625
Converting 0.8656 to a fraction results in 541/625. 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.