What is 0.6260 as a fraction in simplest form.

Answer: 0.6260 as a fraction is 313/500

Converting the decimal number 0.6260 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.

How to write 0.6260 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.6260 can be broken down as:

0.6260 = 0 + 0.626

Here, 0 is the whole number part, and 0.626 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.626, to a fraction. To do this, consider the place value of the decimal:

0.626 =

626

1000

Step 3: Simplify the Fraction

Now, simplify the fraction 626/1000. To do this, find the greatest common divisor (GCD) of 626 and 1000.

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


626 ÷ 2

1000 ÷ 2

=

313

500

So, 0.626 as a fraction is 313/500

Step 4: Combine the Whole Number and Fraction

Now that you have 0.6260 = 0 + 0.626, express the entire number as a mixed fraction:

0.6260

= 0 +

313

500

=

0

500

+

313

500

=

313

500

Here, 0/500 is the whole number 0, and 313/500 is the fractional part.

Final Result Answer

Fraction Form of 0.6260 After simplifying, we get the final fraction:

Answer: 0.6260 = 313/500

Conclusion

Converting 0.6260 to a fraction results in 313/500. 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