Question

-30 by 40 in its standard form is​

Answer 1

Answer:

hope this may help you

Step-by-step explanation:

-3/4

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Answer 2

Given:

A number in the fractional form -30/40.

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 -30/40.

2. Factorize 72 as the product of prime numbers,

=> 30 = 2 x 15,

=> 30 = 2 x 3 x 5,  

3. Factorize 40 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,

=> -30/40 = -(2 x 3 x 5)/(2 x 2 x 2 x 5), (Simplify the equation)

=> -30/40 = -3/4.

Therefore, the standard form of -30/40 is -3/4.