Answer: 1.2320 as a fraction is 1232/1000
Converting the decimal number 1.2320 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 1.2320 can be broken down as:
1.2320 = 1 + 0.232
Here, 1 is the whole number part, and 0.232 is the decimal part.
Focus on converting the decimal part, 0.232, to a fraction. To do this, consider the place value of the decimal:
0.232 =
232
1000
Now, simplify the fraction 232/1000. To do this, find the greatest common divisor (GCD) of 232 and 1000.
Now, divide both the numerator and the denominator by their GCD:
232 ÷ 1
1000 ÷ 1
=
232
1000
So, 0.232 as a fraction is 232/1000
Now that you have 1.2320 = 1 + 0.232, express the entire number as a mixed fraction:
1.2320
= 1 +
232
1000
=
1000
1000
+
232
1000
=
1232
1000
Here, 1000/1000 is the whole number 1, and 232/1000 is the fractional part.
Answer: 1.2320 = 1232/1000
Converting 1.2320 to a fraction results in 1232/1000. 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.