Answer: 0.9168 as a fraction is 573/625
Converting the decimal number 0.9168 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 0.9168 can be broken down as:
0.9168 = 0 + 0.9168
Here, 0 is the whole number part, and 0.9168 is the decimal part.
Focus on converting the decimal part, 0.9168, to a fraction. To do this, consider the place value of the decimal:
0.9168 =
9168
10000
Now, simplify the fraction 9168/10000. To do this, find the greatest common divisor (GCD) of 9168 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9168 ÷ 16
10000 ÷ 16
=
573
625
So, 0.9168 as a fraction is 573/625
Now that you have 0.9168 = 0 + 0.9168, express the entire number as a mixed fraction:
0.9168
= 0 +
573
625
=
0
625
+
573
625
=
573
625
Here, 0/625 is the whole number 0, and 573/625 is the fractional part.
Answer: 0.9168 = 573/625
Converting 0.9168 to a fraction results in 573/625. 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.