Answer: 1.2525 as a fraction is 3131.25/2500
Converting the decimal number 1.2525 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 1.2525 can be broken down as:
1.2525 = 1 + 0.2525
Here, 1 is the whole number part, and 0.2525 is the decimal part.
Focus on converting the decimal part, 0.2525, to a fraction. To do this, consider the place value of the decimal:
0.2525 =
2525
10000
Now, simplify the fraction 2525/10000. To do this, find the greatest common divisor (GCD) of 2525 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2525 ÷ 4
10000 ÷ 4
=
631.25
2500
So, 0.2525 as a fraction is 631.25/2500
Now that you have 1.2525 = 1 + 0.2525, express the entire number as a mixed fraction:
1.2525
= 1 +
631.25
2500
=
2500
2500
+
631.25
2500
=
3131.25
2500
Here, 2500/2500 is the whole number 1, and 631.25/2500 is the fractional part.
Answer: 1.2525 = 3131.25/2500
Converting 1.2525 to a fraction results in 3131.25/2500. 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.