What is 0.2336 as a fraction in simplest form.

Answer: 0.2336 as a fraction is 146/625

Converting the decimal number 0.2336 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 Decimal

The decimal 0.2336 can be broken down as:

0.2336 = 0 + 0.2336


Here, 0 is the whole number part, and 0.2336 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.2336, to a fraction. To do this, consider the place value of the decimal:

0.2336 =

2336

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 2336/10000. To do this, find the greatest common divisor (GCD) of 2336 and 10000.

Now, divide both the numerator and the denominator by their GCD:


2336 ÷ 16

10000 ÷ 16

=

146

625



So, 0.2336 as a fraction is 146/625


Step 4: Combine the Whole Number and Fraction

Now that you have 0.2336 = 0 + 0.2336, express the entire number as a mixed fraction:

0.2336

= 0 +

146

625

=

0

625

+

146

625

=

146

625



Here, 0/625 is the whole number 0, and 146/625 is the fractional part.



Final Result: Fraction Form of 0.2336 After simplifying, we get the final fraction:

Answer: 0.2336 = 146/625



Conclusion

Converting 0.2336 to a fraction results in 146/625. 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.

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