Answer: 0.9128 as a fraction is 1141/1250
Converting the decimal number 0.9128 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 0.9128 can be broken down as:
0.9128 = 0 + 0.9128
Here, 0 is the whole number part, and 0.9128 is the decimal part.
Focus on converting the decimal part, 0.9128, to a fraction. To do this, consider the place value of the decimal:
0.9128 =
9128
10000
Now, simplify the fraction 9128/10000. To do this, find the greatest common divisor (GCD) of 9128 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9128 ÷ 8
10000 ÷ 8
=
1141
1250
So, 0.9128 as a fraction is 1141/1250
Now that you have 0.9128 = 0 + 0.9128, express the entire number as a mixed fraction:
0.9128
= 0 +
1141
1250
=
0
1250
+
1141
1250
=
1141
1250
Here, 0/1250 is the whole number 0, and 1141/1250 is the fractional part.
Answer: 0.9128 = 1141/1250
Converting 0.9128 to a fraction results in 1141/1250. 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.