Answer: 0.9144 as a fraction is 1143/1250
Converting the decimal number 0.9144 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 0.9144 can be broken down as:
0.9144 = 0 + 0.9144
Here, 0 is the whole number part, and 0.9144 is the decimal part.
Focus on converting the decimal part, 0.9144, to a fraction. To do this, consider the place value of the decimal:
0.9144 =
9144
10000
Now, simplify the fraction 9144/10000. To do this, find the greatest common divisor (GCD) of 9144 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9144 ÷ 8
10000 ÷ 8
=
1143
1250
So, 0.9144 as a fraction is 1143/1250
Now that you have 0.9144 = 0 + 0.9144, express the entire number as a mixed fraction:
0.9144
= 0 +
1143
1250
=
0
1250
+
1143
1250
=
1143
1250
Here, 0/1250 is the whole number 0, and 1143/1250 is the fractional part.
Answer: 0.9144 = 1143/1250
Converting 0.9144 to a fraction results in 1143/1250. 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.