What is 0.2630 as a fraction in simplest form.

Answer: 0.2630 as a fraction is 263/1000

Converting the decimal number 0.2630 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 0.2630 can be broken down as:

0.2630 = 0 + 0.263


Here, 0 is the whole number part, and 0.263 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.263, to a fraction. To do this, consider the place value of the decimal:

0.263 =

263

1000


Step 3: Simplify the Fraction

Now, simplify the fraction 263/1000. To do this, find the greatest common divisor (GCD) of 263 and 1000.

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


263 ÷ 1

1000 ÷ 1

=

263

1000



So, 0.263 as a fraction is 263/1000


Step 4: Combine the Whole Number and Fraction

Now that you have 0.2630 = 0 + 0.263, express the entire number as a mixed fraction:

0.2630

= 0 +

263

1000

=

0

1000

+

263

1000

=

263

1000



Here, 0/1000 is the whole number 0, and 263/1000 is the fractional part.



Final Result: Fraction Form of 0.2630 After simplifying, we get the final fraction:

Answer: 0.2630 = 263/1000



Conclusion

Converting 0.2630 to a fraction results in 263/1000. 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.

Calculated Values List