What is 0.1104 as a fraction in simplest form.

Answer: 0.1104 as a fraction is 69/625

Converting the decimal number 0.1104 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 0.1104 can be broken down as:

0.1104 = 0 + 0.1104


Here, 0 is the whole number part, and 0.1104 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.1104, to a fraction. To do this, consider the place value of the decimal:

0.1104 =

1104

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 1104/10000. To do this, find the greatest common divisor (GCD) of 1104 and 10000.

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


1104 ÷ 16

10000 ÷ 16

=

69

625



So, 0.1104 as a fraction is 69/625


Step 4: Combine the Whole Number and Fraction

Now that you have 0.1104 = 0 + 0.1104, express the entire number as a mixed fraction:

0.1104

= 0 +

69

625

=

0

625

+

69

625

=

69

625



Here, 0/625 is the whole number 0, and 69/625 is the fractional part.



Final Result: Fraction Form of 0.1104 After simplifying, we get the final fraction:

Answer: 0.1104 = 69/625



Conclusion

Converting 0.1104 to a fraction results in 69/625. 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