Answer: 1.2445 as a fraction is 3111.25/2500
Converting the decimal number 1.2445 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 1.2445 can be broken down as:
1.2445 = 1 + 0.2445
Here, 1 is the whole number part, and 0.2445 is the decimal part.
Focus on converting the decimal part, 0.2445, to a fraction. To do this, consider the place value of the decimal:
0.2445 =
2445
10000
Now, simplify the fraction 2445/10000. To do this, find the greatest common divisor (GCD) of 2445 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2445 ÷ 4
10000 ÷ 4
=
611.25
2500
So, 0.2445 as a fraction is 611.25/2500
Now that you have 1.2445 = 1 + 0.2445, express the entire number as a mixed fraction:
1.2445
= 1 +
611.25
2500
=
2500
2500
+
611.25
2500
=
3111.25
2500
Here, 2500/2500 is the whole number 1, and 611.25/2500 is the fractional part.
Answer: 1.2445 = 3111.25/2500
Converting 1.2445 to a fraction results in 3111.25/2500. 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.