Answer: 1.2507 as a fraction is 6253.5/5000
Converting the decimal number 1.2507 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 1.2507 can be broken down as:
1.2507 = 1 + 0.2507
Here, 1 is the whole number part, and 0.2507 is the decimal part.
Focus on converting the decimal part, 0.2507, to a fraction. To do this, consider the place value of the decimal:
0.2507 =
2507
10000
Now, simplify the fraction 2507/10000. To do this, find the greatest common divisor (GCD) of 2507 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2507 ÷ 2
10000 ÷ 2
=
1253.5
5000
So, 0.2507 as a fraction is 1253.5/5000
Now that you have 1.2507 = 1 + 0.2507, express the entire number as a mixed fraction:
1.2507
= 1 +
1253.5
5000
=
5000
5000
+
1253.5
5000
=
6253.5
5000
Here, 5000/5000 is the whole number 1, and 1253.5/5000 is the fractional part.
Answer: 1.2507 = 6253.5/5000
Converting 1.2507 to a fraction results in 6253.5/5000. 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.