Answer: 1.2373 as a fraction is 12373/10000
Converting the decimal number 1.2373 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 1.2373 can be broken down as:
1.2373 = 1 + 0.2373
Here, 1 is the whole number part, and 0.2373 is the decimal part.
Focus on converting the decimal part, 0.2373, to a fraction. To do this, consider the place value of the decimal:
0.2373 =
2373
10000
Now, simplify the fraction 2373/10000. To do this, find the greatest common divisor (GCD) of 2373 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2373 ÷ 1
10000 ÷ 1
=
2373
10000
So, 0.2373 as a fraction is 2373/10000
Now that you have 1.2373 = 1 + 0.2373, express the entire number as a mixed fraction:
1.2373
= 1 +
2373
10000
=
10000
10000
+
2373
10000
=
12373
10000
Here, 10000/10000 is the whole number 1, and 2373/10000 is the fractional part.
Answer: 1.2373 = 12373/10000
Converting 1.2373 to a fraction results in 12373/10000. 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.