0.117 As A Fraction Simplified

2 min read Jul 05, 2024
0.117 As A Fraction Simplified

0.117 as a Fraction Simplified

What is 0.117 as a Fraction?

The decimal number 0.117 can be converted to a fraction by dividing the numerator by the denominator. To find the fraction equivalent, we can write:

0.117 = 117/1000

Simplifying the Fraction

To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator.

GCD (117, 1000) = 13

Now, we can divide both the numerator and denominator by the GCD:

117 ÷ 13 = 9 1000 ÷ 13 = 76.923 ( rounded to 76.92)

So, the simplified fraction is:

9/76.92

Alternative Simplification Method

Another way to simplify the fraction is to use a calculator or an online tool to find the simplified fraction. Using this method, we get:

0.117 = 9/77

This fractional equivalent is a more simplified form of the original fraction.

Conclusion

In conclusion, the decimal number 0.117 can be written as a fraction in its simplest form as 9/77. This equivalent fraction can be used in mathematical calculations and representations.

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