Answer: 0.8795 as a fraction is 1759/2000
Converting the decimal number 0.8795 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 0.8795 can be broken down as:
0.8795 = 0 + 0.8795
Here, 0 is the whole number part, and 0.8795 is the decimal part.
Focus on converting the decimal part, 0.8795, to a fraction. To do this, consider the place value of the decimal:
0.8795 =
8795
10000
Now, simplify the fraction 8795/10000. To do this, find the greatest common divisor (GCD) of 8795 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8795 ÷ 5
10000 ÷ 5
=
1759
2000
So, 0.8795 as a fraction is 1759/2000
Now that you have 0.8795 = 0 + 0.8795, express the entire number as a mixed fraction:
0.8795
= 0 +
1759
2000
=
0
2000
+
1759
2000
=
1759
2000
Here, 0/2000 is the whole number 0, and 1759/2000 is the fractional part.
Answer: 0.8795 = 1759/2000
Converting 0.8795 to a fraction results in 1759/2000. 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.