Answer: 0.8675 as a fraction is 347/400
Converting the decimal number 0.8675 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 0.8675 can be broken down as:
0.8675 = 0 + 0.8675
Here, 0 is the whole number part, and 0.8675 is the decimal part.
Focus on converting the decimal part, 0.8675, to a fraction. To do this, consider the place value of the decimal:
0.8675 =
8675
10000
Now, simplify the fraction 8675/10000. To do this, find the greatest common divisor (GCD) of 8675 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8675 ÷ 25
10000 ÷ 25
=
347
400
So, 0.8675 as a fraction is 347/400
Now that you have 0.8675 = 0 + 0.8675, express the entire number as a mixed fraction:
0.8675
= 0 +
347
400
=
0
400
+
347
400
=
347
400
Here, 0/400 is the whole number 0, and 347/400 is the fractional part.
Answer: 0.8675 = 347/400
Converting 0.8675 to a fraction results in 347/400. 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.