What is 0.0885 as a fraction in simplest form.

Answer: 0.0885 as a fraction is 177/2000

Converting the decimal number 0.0885 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 0.0885 can be broken down as:

0.0885 = 0 + 0.0885


Here, 0 is the whole number part, and 0.0885 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.0885, to a fraction. To do this, consider the place value of the decimal:

0.0885 =

885

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 885/10000. To do this, find the greatest common divisor (GCD) of 885 and 10000.

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


885 ÷ 5

10000 ÷ 5

=

177

2000



So, 0.0885 as a fraction is 177/2000


Step 4: Combine the Whole Number and Fraction

Now that you have 0.0885 = 0 + 0.0885, express the entire number as a mixed fraction:

0.0885

= 0 +

177

2000

=

0

2000

+

177

2000

=

177

2000



Here, 0/2000 is the whole number 0, and 177/2000 is the fractional part.



Final Result: Fraction Form of 0.0885 After simplifying, we get the final fraction:

Answer: 0.0885 = 177/2000



Conclusion

Converting 0.0885 to a fraction results in 177/2000. 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