Answer: 0.8680 as a fraction is 217/250
Converting the decimal number 0.8680 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 0.8680 can be broken down as:
0.8680 = 0 + 0.868
Here, 0 is the whole number part, and 0.868 is the decimal part.
Focus on converting the decimal part, 0.868, to a fraction. To do this, consider the place value of the decimal:
0.868 =
868
1000
Now, simplify the fraction 868/1000. To do this, find the greatest common divisor (GCD) of 868 and 1000.
Now, divide both the numerator and the denominator by their GCD:
868 ÷ 4
1000 ÷ 4
=
217
250
So, 0.868 as a fraction is 217/250
Now that you have 0.8680 = 0 + 0.868, express the entire number as a mixed fraction:
0.8680
= 0 +
217
250
=
0
250
+
217
250
=
217
250
Here, 0/250 is the whole number 0, and 217/250 is the fractional part.
Answer: 0.8680 = 217/250
Converting 0.8680 to a fraction results in 217/250. 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.