Answer: 0.8780 as a fraction is 439/500
Converting the decimal number 0.8780 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 0.8780 can be broken down as:
0.8780 = 0 + 0.878
Here, 0 is the whole number part, and 0.878 is the decimal part.
Focus on converting the decimal part, 0.878, to a fraction. To do this, consider the place value of the decimal:
0.878 =
878
1000
Now, simplify the fraction 878/1000. To do this, find the greatest common divisor (GCD) of 878 and 1000.
Now, divide both the numerator and the denominator by their GCD:
878 ÷ 2
1000 ÷ 2
=
439
500
So, 0.878 as a fraction is 439/500
Now that you have 0.8780 = 0 + 0.878, express the entire number as a mixed fraction:
0.8780
= 0 +
439
500
=
0
500
+
439
500
=
439
500
Here, 0/500 is the whole number 0, and 439/500 is the fractional part.
Answer: 0.8780 = 439/500
Converting 0.8780 to a fraction results in 439/500. 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.