Answer: 0.8784 as a fraction is 549/625
Converting the decimal number 0.8784 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 0.8784 can be broken down as:
0.8784 = 0 + 0.8784
Here, 0 is the whole number part, and 0.8784 is the decimal part.
Focus on converting the decimal part, 0.8784, to a fraction. To do this, consider the place value of the decimal:
0.8784 =
8784
10000
Now, simplify the fraction 8784/10000. To do this, find the greatest common divisor (GCD) of 8784 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8784 ÷ 16
10000 ÷ 16
=
549
625
So, 0.8784 as a fraction is 549/625
Now that you have 0.8784 = 0 + 0.8784, express the entire number as a mixed fraction:
0.8784
= 0 +
549
625
=
0
625
+
549
625
=
549
625
Here, 0/625 is the whole number 0, and 549/625 is the fractional part.
Answer: 0.8784 = 549/625
Converting 0.8784 to a fraction results in 549/625. 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.