What is 0.2632 as a fraction in simplest form.

Answer: 0.2632 as a fraction is 329/1250

Converting the decimal number 0.2632 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 0.2632 can be broken down as:

0.2632 = 0 + 0.2632


Here, 0 is the whole number part, and 0.2632 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.2632, to a fraction. To do this, consider the place value of the decimal:

0.2632 =

2632

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 2632/10000. To do this, find the greatest common divisor (GCD) of 2632 and 10000.

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


2632 ÷ 8

10000 ÷ 8

=

329

1250



So, 0.2632 as a fraction is 329/1250


Step 4: Combine the Whole Number and Fraction

Now that you have 0.2632 = 0 + 0.2632, express the entire number as a mixed fraction:

0.2632

= 0 +

329

1250

=

0

1250

+

329

1250

=

329

1250



Here, 0/1250 is the whole number 0, and 329/1250 is the fractional part.



Final Result: Fraction Form of 0.2632 After simplifying, we get the final fraction:

Answer: 0.2632 = 329/1250



Conclusion

Converting 0.2632 to a fraction results in 329/1250. 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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