Answer: 0.9072 as a fraction is 567/625
Converting the decimal number 0.9072 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 0.9072 can be broken down as:
0.9072 = 0 + 0.9072
Here, 0 is the whole number part, and 0.9072 is the decimal part.
Focus on converting the decimal part, 0.9072, to a fraction. To do this, consider the place value of the decimal:
0.9072 =
9072
10000
Now, simplify the fraction 9072/10000. To do this, find the greatest common divisor (GCD) of 9072 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9072 ÷ 16
10000 ÷ 16
=
567
625
So, 0.9072 as a fraction is 567/625
Now that you have 0.9072 = 0 + 0.9072, express the entire number as a mixed fraction:
0.9072
= 0 +
567
625
=
0
625
+
567
625
=
567
625
Here, 0/625 is the whole number 0, and 567/625 is the fractional part.
Answer: 0.9072 = 567/625
Converting 0.9072 to a fraction results in 567/625. 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.