What is 0.1375 as a fraction in simplest form.

Answer: 0.1375 as a fraction is 11/80

Converting the decimal number 0.1375 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 0.1375 can be broken down as:

0.1375 = 0 + 0.1375


Here, 0 is the whole number part, and 0.1375 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.1375, to a fraction. To do this, consider the place value of the decimal:

0.1375 =

1375

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 1375/10000. To do this, find the greatest common divisor (GCD) of 1375 and 10000.

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


1375 ÷ 125

10000 ÷ 125

=

11

80



So, 0.1375 as a fraction is 11/80


Step 4: Combine the Whole Number and Fraction

Now that you have 0.1375 = 0 + 0.1375, express the entire number as a mixed fraction:

0.1375

= 0 +

11

80

=

0

80

+

11

80

=

11

80



Here, 0/80 is the whole number 0, and 11/80 is the fractional part.



Final Result: Fraction Form of 0.1375 After simplifying, we get the final fraction:

Answer: 0.1375 = 11/80



Conclusion

Converting 0.1375 to a fraction results in 11/80. 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