Answer: 0.8976 as a fraction is 561/625
Converting the decimal number 0.8976 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 0.8976 can be broken down as:
0.8976 = 0 + 0.8976
Here, 0 is the whole number part, and 0.8976 is the decimal part.
Focus on converting the decimal part, 0.8976, to a fraction. To do this, consider the place value of the decimal:
0.8976 =
8976
10000
Now, simplify the fraction 8976/10000. To do this, find the greatest common divisor (GCD) of 8976 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8976 ÷ 16
10000 ÷ 16
=
561
625
So, 0.8976 as a fraction is 561/625
Now that you have 0.8976 = 0 + 0.8976, express the entire number as a mixed fraction:
0.8976
= 0 +
561
625
=
0
625
+
561
625
=
561
625
Here, 0/625 is the whole number 0, and 561/625 is the fractional part.
Answer: 0.8976 = 561/625
Converting 0.8976 to a fraction results in 561/625. 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.