Answer: 0.2348 as a fraction is 587/2500
Converting the decimal number 0.2348 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 0.2348 can be broken down as:
0.2348 = 0 + 0.2348
Here, 0 is the whole number part, and 0.2348 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2348, to a fraction. To do this, consider the place value of the decimal:
0.2348 =
2348
10000
Now, simplify the fraction 2348/10000. To do this, find the greatest common divisor (GCD) of 2348 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2348 ÷ 4
10000 ÷ 4
=
587
2500
So, 0.2348 as a fraction is 587/2500
Step 4: Combine the Whole Number and FractionNow that you have 0.2348 = 0 + 0.2348, express the entire number as a mixed fraction:
0.2348
= 0 +
587
2500
=
0
2500
+
587
2500
=
587
2500
Here, 0/2500 is the whole number 0, and 587/2500 is the fractional part.
Final Result: Fraction Form of 0.2348 After simplifying, we get the final fraction:
Answer: 0.2348 = 587/2500
Converting 0.2348 to a fraction results in 587/2500. 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.