Answer: 0.8650 as a fraction is 173/200
Converting the decimal number 0.8650 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 0.8650 can be broken down as:
0.8650 = 0 + 0.865
Here, 0 is the whole number part, and 0.865 is the decimal part.
Focus on converting the decimal part, 0.865, to a fraction. To do this, consider the place value of the decimal:
0.865 =
865
1000
Now, simplify the fraction 865/1000. To do this, find the greatest common divisor (GCD) of 865 and 1000.
Now, divide both the numerator and the denominator by their GCD:
865 ÷ 5
1000 ÷ 5
=
173
200
So, 0.865 as a fraction is 173/200
Now that you have 0.8650 = 0 + 0.865, express the entire number as a mixed fraction:
0.8650
= 0 +
173
200
=
0
200
+
173
200
=
173
200
Here, 0/200 is the whole number 0, and 173/200 is the fractional part.
Answer: 0.8650 = 173/200
Converting 0.8650 to a fraction results in 173/200. 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.