Question

114/133...find simplest form and explain​

Answer 1

Answer:

The simplest form of 114/133 is 6/7.

Step-by-step explanation:

Simplest form:

• A fraction is a number that represents a portion of an entire. The reduced form of a fraction is another name for its most basic form.
• For instance, the simplest representation of a fraction with a common component of 1 is 3/4.
• The simplest form, however, is not 2/4 because 1/2 is a further simplification of 2/4 that can be written.
• In this case, we can also claim that the fractions 1/2 and 2/4 are equal.

Simplest form of 114/133:

Given number is

 114/133

 now we need to convert the given fraction into its simplest form.

 We apply the Prime factorization method

 Prime factors of 114 = 2×3×19

 Prime factors of 133 = 7×19

             Now, 114/133 = (2×3×19)/(7×19)

                                   = 6/7

  Hence, the simplest form of 114/133 is 6/7.

Know more about Factorization:

https://brainly.in/question/48418946?referrer=searchResults

Know more about Division:

https://brainly.in/question/13368512?referrer=searchResults

Answer 2

Answer:

The simplest form of   $\frac{114}{133}$   = $\frac{6}{7}$

Step-by-step explanation:

To find,

The simplest form of $\frac{114}{133}$

Solution:

The simplest form of a fraction is obtained by dividing the numerator and denominator by all the common factors of the numerator and denominator.

That is the simplest form is obtained by dividing the numerator and denominator by their highest common factor or HCF

To find the HCF of 114 and 133

The prime factorization of 114 = 2 × 3 × 19

The prime factorization of 133 = 7 x 19

Hence, the highest common factor of 114 and 133 = 19

To get the simplest form of the ratio, divide the numerator and denominator with 19

114 ÷ 19 = 6

133 ÷ 19 = 7

Hence the simplest form of   $\frac{114}{133}$  = $\frac{6}{7}$

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