What is 0.1040 as a fraction in simplest form.

Answer: 0.1040 as a fraction is 13/125

Converting the decimal number 0.1040 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 0.1040 can be broken down as:

0.1040 = 0 + 0.104


Here, 0 is the whole number part, and 0.104 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.104, to a fraction. To do this, consider the place value of the decimal:

0.104 =

104

1000


Step 3: Simplify the Fraction

Now, simplify the fraction 104/1000. To do this, find the greatest common divisor (GCD) of 104 and 1000.

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


104 ÷ 8

1000 ÷ 8

=

13

125



So, 0.104 as a fraction is 13/125


Step 4: Combine the Whole Number and Fraction

Now that you have 0.1040 = 0 + 0.104, express the entire number as a mixed fraction:

0.1040

= 0 +

13

125

=

0

125

+

13

125

=

13

125



Here, 0/125 is the whole number 0, and 13/125 is the fractional part.



Final Result: Fraction Form of 0.1040 After simplifying, we get the final fraction:

Answer: 0.1040 = 13/125



Conclusion

Converting 0.1040 to a fraction results in 13/125. 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