Answer: 0.9048 as a fraction is 1131/1250
Converting the decimal number 0.9048 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 0.9048 can be broken down as:
0.9048 = 0 + 0.9048
Here, 0 is the whole number part, and 0.9048 is the decimal part.
Focus on converting the decimal part, 0.9048, to a fraction. To do this, consider the place value of the decimal:
0.9048 =
9048
10000
Now, simplify the fraction 9048/10000. To do this, find the greatest common divisor (GCD) of 9048 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9048 ÷ 8
10000 ÷ 8
=
1131
1250
So, 0.9048 as a fraction is 1131/1250
Now that you have 0.9048 = 0 + 0.9048, express the entire number as a mixed fraction:
0.9048
= 0 +
1131
1250
=
0
1250
+
1131
1250
=
1131
1250
Here, 0/1250 is the whole number 0, and 1131/1250 is the fractional part.
Answer: 0.9048 = 1131/1250
Converting 0.9048 to a fraction results in 1131/1250. 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.