Question

the rational number 12/40 what is standard form ​

Answer 1

Answer:

3/10

Step-by-step explanation:

12/40  

12=6   ,  40=20    =  6/20

6/20

6=3   ,    20=10

so the answer is 3/10

Answer 2

Given:

A number in the fractional form 12/40.

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 12/40.

2. Factorize 12 as the product of prime numbers,

=> 12 = 2 x 6,

=> 12 = 2 x 2 x 3.

3. Factorize 30 as the product of prime factors,

=> 40 = 2 x 20,

=> 40 = 2 x 2 x 10,

=> 40 = 2 x 2 x 2 x 5.

4. Substitute the factorized forms in the fraction,

=> 12/40 = (2 x 2 x 3)/(2 x 2 x 2 x 5), (Simplify the equation)

=> 12/40 = 3/10.

Therefore, the standard form of 12/40 is 3/10.