What is 0.1190 as a fraction in simplest form.

Answer: 0.1190 as a fraction is 119/1000

Converting the decimal number 0.1190 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 0.1190 can be broken down as:

0.1190 = 0 + 0.119


Here, 0 is the whole number part, and 0.119 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.119, to a fraction. To do this, consider the place value of the decimal:

0.119 =

119

1000


Step 3: Simplify the Fraction

Now, simplify the fraction 119/1000. To do this, find the greatest common divisor (GCD) of 119 and 1000.

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


119 ÷ 1

1000 ÷ 1

=

119

1000



So, 0.119 as a fraction is 119/1000


Step 4: Combine the Whole Number and Fraction

Now that you have 0.1190 = 0 + 0.119, express the entire number as a mixed fraction:

0.1190

= 0 +

119

1000

=

0

1000

+

119

1000

=

119

1000



Here, 0/1000 is the whole number 0, and 119/1000 is the fractional part.



Final Result: Fraction Form of 0.1190 After simplifying, we get the final fraction:

Answer: 0.1190 = 119/1000



Conclusion

Converting 0.1190 to a fraction results in 119/1000. 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.

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