Answer: 1.0248 as a fraction is 10248/10000
Converting the decimal number 1.0248 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 1.0248 can be broken down as:
1.0248 = 1 + 0.0248
Here, 1 is the whole number part, and 0.0248 is the decimal part.
Focus on converting the decimal part, 0.0248, to a fraction. To do this, consider the place value of the decimal:
0.0248 =
248
10000
Now, simplify the fraction 248/10000. To do this, find the greatest common divisor (GCD) of 248 and 10000.
Now, divide both the numerator and the denominator by their GCD:
248 ÷ 1
10000 ÷ 1
=
248
10000
So, 0.0248 as a fraction is 248/10000
Now that you have 1.0248 = 1 + 0.0248, express the entire number as a mixed fraction:
1.0248
= 1 +
248
10000
=
10000
10000
+
248
10000
=
10248
10000
Here, 10000/10000 is the whole number 1, and 248/10000 is the fractional part.
Answer: 1.0248 = 10248/10000
Converting 1.0248 to a fraction results in 10248/10000. 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.