47/30 In Simplest Form As A Fraction

2 min read Jul 26, 2024
47/30 In Simplest Form As A Fraction

Simplifying 47/30 as a Fraction

In this article, we will simplify the fraction 47/30 to its simplest form.

What is the Simpliest Form of a Fraction?

The simplest form of a fraction is a fraction that has no common factors between the numerator (the top number) and the denominator (the bottom number) except for 1. In other words, the numerator and denominator are coprime.

Simplifying 47/30

To simplify the fraction 47/30, we need to find the greatest common divisor (GCD) of 47 and 30.

Finding the Greatest Common Divisor (GCD)

To find the GCD of 47 and 30, we can use the following steps:

  1. List the factors of 47: 1, 47
  2. List the factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
  3. Identify the common factors: 1
  4. The GCD is the highest common factor: 1

Since the GCD is 1, the fraction 47/30 is already in its simplest form.

Conclusion

The simplest form of the fraction 47/30 is 47/30. There is no need to simplify it further as it is already in its simplest form.

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