Answer: 0.9136 as a fraction is 571/625
Converting the decimal number 0.9136 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 0.9136 can be broken down as:
0.9136 = 0 + 0.9136
Here, 0 is the whole number part, and 0.9136 is the decimal part.
Focus on converting the decimal part, 0.9136, to a fraction. To do this, consider the place value of the decimal:
0.9136 =
9136
10000
Now, simplify the fraction 9136/10000. To do this, find the greatest common divisor (GCD) of 9136 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9136 ÷ 16
10000 ÷ 16
=
571
625
So, 0.9136 as a fraction is 571/625
Now that you have 0.9136 = 0 + 0.9136, express the entire number as a mixed fraction:
0.9136
= 0 +
571
625
=
0
625
+
571
625
=
571
625
Here, 0/625 is the whole number 0, and 571/625 is the fractional part.
Answer: 0.9136 = 571/625
Converting 0.9136 to a fraction results in 571/625. 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.