Question

standard form 72/84 in full method
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Answer 1

Answer:

Step-by-step explanation:

72 / 84

= (36 / 42 ) × ( 2/ 2 )

= ( 18 / 21 ) × ( 2 / 2 )

= ( 6 / 7 ) × ( 3 / 3 )

= 6 / 7 is the answer

Answer 2

Given:

A number in the fractional form 72/84.

To Find:

The standard form / simplest form of the given fraction.

Solution:

The given problem can be solved using the concepts of prime factorization.

1. The given fraction is 72/84.

2. Factorize 72 as the product of prime numbers,

=> 72 = 2 x 36,

=> 72 = 2 x 2 x 18,

=> 72 = 2 x 2 x 2 x 9,

=> 72 = 2 x 2 x 2 x 3 x 3.

3. Factorize 84 as the product of prime factors,

=> 84 = 2 x 42,

=> 84 = 2 x 2 x 21,

=> 84 = 2 x 2 x 3 x 7.

4. Substitute the factorized forms in the fraction,

=> 72/84 = (2 x 2 x 2 x 3 x 3)/(2 x 2 x 3 x 7), (Simplify the equation)

=> 72/84 = 6/7.

Therefore, the standard form of 72/84 is 6/7.