What is 0.1272 as a fraction in simplest form.

Answer: 0.1272 as a fraction is 159/1250

Converting the decimal number 0.1272 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 0.1272 can be broken down as:

0.1272 = 0 + 0.1272


Here, 0 is the whole number part, and 0.1272 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.1272, to a fraction. To do this, consider the place value of the decimal:

0.1272 =

1272

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 1272/10000. To do this, find the greatest common divisor (GCD) of 1272 and 10000.

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


1272 ÷ 8

10000 ÷ 8

=

159

1250



So, 0.1272 as a fraction is 159/1250


Step 4: Combine the Whole Number and Fraction

Now that you have 0.1272 = 0 + 0.1272, express the entire number as a mixed fraction:

0.1272

= 0 +

159

1250

=

0

1250

+

159

1250

=

159

1250



Here, 0/1250 is the whole number 0, and 159/1250 is the fractional part.



Final Result: Fraction Form of 0.1272 After simplifying, we get the final fraction:

Answer: 0.1272 = 159/1250



Conclusion

Converting 0.1272 to a fraction results in 159/1250. 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.

Calculated Values List