Answer: 1.1252 as a fraction is 11252/10000
Converting the decimal number 1.1252 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 1.1252 can be broken down as:
1.1252 = 1 + 0.1252
Here, 1 is the whole number part, and 0.1252 is the decimal part.
Focus on converting the decimal part, 0.1252, to a fraction. To do this, consider the place value of the decimal:
0.1252 =
1252
10000
Now, simplify the fraction 1252/10000. To do this, find the greatest common divisor (GCD) of 1252 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1252 ÷ 1
10000 ÷ 1
=
1252
10000
So, 0.1252 as a fraction is 1252/10000
Now that you have 1.1252 = 1 + 0.1252, express the entire number as a mixed fraction:
1.1252
= 1 +
1252
10000
=
10000
10000
+
1252
10000
=
11252
10000
Here, 10000/10000 is the whole number 1, and 1252/10000 is the fractional part.
Answer: 1.1252 = 11252/10000
Converting 1.1252 to a fraction results in 11252/10000. 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.