Answer: 0.9152 as a fraction is 572/625
Converting the decimal number 0.9152 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 0.9152 can be broken down as:
0.9152 = 0 + 0.9152
Here, 0 is the whole number part, and 0.9152 is the decimal part.
Focus on converting the decimal part, 0.9152, to a fraction. To do this, consider the place value of the decimal:
0.9152 =
9152
10000
Now, simplify the fraction 9152/10000. To do this, find the greatest common divisor (GCD) of 9152 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9152 ÷ 16
10000 ÷ 16
=
572
625
So, 0.9152 as a fraction is 572/625
Now that you have 0.9152 = 0 + 0.9152, express the entire number as a mixed fraction:
0.9152
= 0 +
572
625
=
0
625
+
572
625
=
572
625
Here, 0/625 is the whole number 0, and 572/625 is the fractional part.
Answer: 0.9152 = 572/625
Converting 0.9152 to a fraction results in 572/625. 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.