Answer: 0.8810 as a fraction is 881/1000
Converting the decimal number 0.8810 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 0.8810 can be broken down as:
0.8810 = 0 + 0.881
Here, 0 is the whole number part, and 0.881 is the decimal part.
Focus on converting the decimal part, 0.881, to a fraction. To do this, consider the place value of the decimal:
0.881 =
881
1000
Now, simplify the fraction 881/1000. To do this, find the greatest common divisor (GCD) of 881 and 1000.
Now, divide both the numerator and the denominator by their GCD:
881 ÷ 1
1000 ÷ 1
=
881
1000
So, 0.881 as a fraction is 881/1000
Now that you have 0.8810 = 0 + 0.881, express the entire number as a mixed fraction:
0.8810
= 0 +
881
1000
=
0
1000
+
881
1000
=
881
1000
Here, 0/1000 is the whole number 0, and 881/1000 is the fractional part.
Answer: 0.8810 = 881/1000
Converting 0.8810 to a fraction results in 881/1000. 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.