0.167 As A Fraction In Simplest Form

2 min read Jul 06, 2024
0.167 As A Fraction In Simplest Form

0.167 as a Fraction in Simplest Form

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What is 0.167 as a Fraction?

The decimal number 0.167 can be converted to a fraction in simplest form. To do this, we need to find the equivalent fraction that has the same value as the decimal.

Converting 0.167 to a Fraction

To convert 0.167 to a fraction, we can divide the decimal by 1000 (since there are three decimal places):

0.167 = 167/1000

Simplifying the Fraction

The fraction 167/1000 can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator.

The GCD of 167 and 1000 is 1, since 167 is a prime number. Therefore, the simplified fraction is:

0.167 = 167/1000

In Simplest Form

The fraction 167/1000 is already in simplest form, since the GCD of the numerator and denominator is 1.

Conclusion

In conclusion, the decimal number 0.167 is equal to the fraction 167/1000 in simplest form. This fractional equivalent can be used in various mathematical operations and applications.

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