What is 0.1302 as a fraction in simplest form.

Answer: 0.1302 as a fraction is 651/5000

Converting the decimal number 0.1302 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 0.1302 can be broken down as:

0.1302 = 0 + 0.1302


Here, 0 is the whole number part, and 0.1302 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.1302, to a fraction. To do this, consider the place value of the decimal:

0.1302 =

1302

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 1302/10000. To do this, find the greatest common divisor (GCD) of 1302 and 10000.

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


1302 ÷ 2

10000 ÷ 2

=

651

5000



So, 0.1302 as a fraction is 651/5000


Step 4: Combine the Whole Number and Fraction

Now that you have 0.1302 = 0 + 0.1302, express the entire number as a mixed fraction:

0.1302

= 0 +

651

5000

=

0

5000

+

651

5000

=

651

5000



Here, 0/5000 is the whole number 0, and 651/5000 is the fractional part.



Final Result: Fraction Form of 0.1302 After simplifying, we get the final fraction:

Answer: 0.1302 = 651/5000



Conclusion

Converting 0.1302 to a fraction results in 651/5000. 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