Answer: 1.1483 as a fraction is 11483/10000
Converting the decimal number 1.1483 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 1.1483 can be broken down as:
1.1483 = 1 + 0.1483
Here, 1 is the whole number part, and 0.1483 is the decimal part.
Focus on converting the decimal part, 0.1483, to a fraction. To do this, consider the place value of the decimal:
0.1483 =
1483
10000
Now, simplify the fraction 1483/10000. To do this, find the greatest common divisor (GCD) of 1483 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1483 ÷ 1
10000 ÷ 1
=
1483
10000
So, 0.1483 as a fraction is 1483/10000
Now that you have 1.1483 = 1 + 0.1483, express the entire number as a mixed fraction:
1.1483
= 1 +
1483
10000
=
10000
10000
+
1483
10000
=
11483
10000
Here, 10000/10000 is the whole number 1, and 1483/10000 is the fractional part.
Answer: 1.1483 = 11483/10000
Converting 1.1483 to a fraction results in 11483/10000. 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.