0.116 As A Simplified Fraction

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

0.116 as a Simplified Fraction

In this article, we will explore how to simplify the decimal number 0.116 as a fraction.

What is 0.116?

0.116 is a decimal number that represents a finite part of a whole. It is a number that can be expressed in various forms, including fractions.

Converting 0.116 to a Fraction

To convert 0.116 to a fraction, we can use the following steps:

  1. Divide by 1000: Divide 0.116 by 1000, which is equal to 116/1000.
  2. Simplify the Fraction: Simplify the fraction 116/1000 by dividing both the numerator and the denominator by their greatest common divisor (GCD).

Greatest Common Divisor (GCD)

The GCD of 116 and 1000 is 4.

Simplified Fraction

By dividing both the numerator and the denominator by 4, we get:

116 ÷ 4 = 29 1000 ÷ 4 = 250

So, the simplified fraction of 0.116 is:

29/250

Conclusion

In conclusion, the decimal number 0.116 can be simplified as a fraction, which is equal to 29/250. This simplified fraction represents the same value as the original decimal number.

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