Answer: 1.2368 as a fraction is 12368/10000
Converting the decimal number 1.2368 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 1.2368 can be broken down as:
1.2368 = 1 + 0.2368
Here, 1 is the whole number part, and 0.2368 is the decimal part.
Focus on converting the decimal part, 0.2368, to a fraction. To do this, consider the place value of the decimal:
0.2368 =
2368
10000
Now, simplify the fraction 2368/10000. To do this, find the greatest common divisor (GCD) of 2368 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2368 ÷ 1
10000 ÷ 1
=
2368
10000
So, 0.2368 as a fraction is 2368/10000
Now that you have 1.2368 = 1 + 0.2368, express the entire number as a mixed fraction:
1.2368
= 1 +
2368
10000
=
10000
10000
+
2368
10000
=
12368
10000
Here, 10000/10000 is the whole number 1, and 2368/10000 is the fractional part.
Answer: 1.2368 = 12368/10000
Converting 1.2368 to a fraction results in 12368/10000. 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.