Answer: 0.9150 as a fraction is 183/200
Converting the decimal number 0.9150 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 0.9150 can be broken down as:
0.9150 = 0 + 0.915
Here, 0 is the whole number part, and 0.915 is the decimal part.
Focus on converting the decimal part, 0.915, to a fraction. To do this, consider the place value of the decimal:
0.915 =
915
1000
Now, simplify the fraction 915/1000. To do this, find the greatest common divisor (GCD) of 915 and 1000.
Now, divide both the numerator and the denominator by their GCD:
915 ÷ 5
1000 ÷ 5
=
183
200
So, 0.915 as a fraction is 183/200
Now that you have 0.9150 = 0 + 0.915, express the entire number as a mixed fraction:
0.9150
= 0 +
183
200
=
0
200
+
183
200
=
183
200
Here, 0/200 is the whole number 0, and 183/200 is the fractional part.
Answer: 0.9150 = 183/200
Converting 0.9150 to a fraction results in 183/200. 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.