Answer: 0.2320 as a fraction is 29/125
Converting the decimal number 0.2320 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.
Step 1: Understand the DecimalThe decimal 0.2320 can be broken down as:
0.2320 = 0 + 0.232
Here, 0 is the whole number part, and 0.232 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus 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 ÷ 8
1000 ÷ 8
=
29
125
So, 0.232 as a fraction is 29/125
Step 4: Combine the Whole Number and FractionNow that you have 0.2320 = 0 + 0.232, express the entire number as a mixed fraction:
0.2320
= 0 +
29
125
=
0
125
+
29
125
=
29
125
Here, 0/125 is the whole number 0, and 29/125 is the fractional part.
Final Result: Fraction Form of 0.2320 After simplifying, we get the final fraction:
Answer: 0.2320 = 29/125
Converting 0.2320 to a fraction results in 29/125. 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.