Answer: 0.9160 as a fraction is 229/250
Converting the decimal number 0.9160 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 0.9160 can be broken down as:
0.9160 = 0 + 0.916
Here, 0 is the whole number part, and 0.916 is the decimal part.
Focus on converting the decimal part, 0.916, to a fraction. To do this, consider the place value of the decimal:
0.916 =
916
1000
Now, simplify the fraction 916/1000. To do this, find the greatest common divisor (GCD) of 916 and 1000.
Now, divide both the numerator and the denominator by their GCD:
916 ÷ 4
1000 ÷ 4
=
229
250
So, 0.916 as a fraction is 229/250
Now that you have 0.9160 = 0 + 0.916, express the entire number as a mixed fraction:
0.9160
= 0 +
229
250
=
0
250
+
229
250
=
229
250
Here, 0/250 is the whole number 0, and 229/250 is the fractional part.
Answer: 0.9160 = 229/250
Converting 0.9160 to a fraction results in 229/250. 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.