Answer: 0.2350 as a fraction is 47/200
Converting the decimal number 0.2350 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 0.2350 can be broken down as:
0.2350 = 0 + 0.235
Here, 0 is the whole number part, and 0.235 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.235, to a fraction. To do this, consider the place value of the decimal:
0.235 =
235
1000
Now, simplify the fraction 235/1000. To do this, find the greatest common divisor (GCD) of 235 and 1000.
Now, divide both the numerator and the denominator by their GCD:
235 ÷ 5
1000 ÷ 5
=
47
200
So, 0.235 as a fraction is 47/200
Step 4: Combine the Whole Number and FractionNow that you have 0.2350 = 0 + 0.235, express the entire number as a mixed fraction:
0.2350
= 0 +
47
200
=
0
200
+
47
200
=
47
200
Here, 0/200 is the whole number 0, and 47/200 is the fractional part.
Final Result: Fraction Form of 0.2350 After simplifying, we get the final fraction:
Answer: 0.2350 = 47/200
Converting 0.2350 to a fraction results in 47/200. 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.