What is 0.1335 as a fraction in simplest form.

Answer: 0.1335 as a fraction is 267/2000

Converting the decimal number 0.1335 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 0.1335 can be broken down as:

0.1335 = 0 + 0.1335


Here, 0 is the whole number part, and 0.1335 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.1335, to a fraction. To do this, consider the place value of the decimal:

0.1335 =

1335

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 1335/10000. To do this, find the greatest common divisor (GCD) of 1335 and 10000.

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


1335 ÷ 5

10000 ÷ 5

=

267

2000



So, 0.1335 as a fraction is 267/2000


Step 4: Combine the Whole Number and Fraction

Now that you have 0.1335 = 0 + 0.1335, express the entire number as a mixed fraction:

0.1335

= 0 +

267

2000

=

0

2000

+

267

2000

=

267

2000



Here, 0/2000 is the whole number 0, and 267/2000 is the fractional part.



Final Result: Fraction Form of 0.1335 After simplifying, we get the final fraction:

Answer: 0.1335 = 267/2000



Conclusion

Converting 0.1335 to a fraction results in 267/2000. 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