Question

Which of the following numbers is in standard form ?
-12/26
-49/70
-9/16
28/-105
( Please solve completely )

Answer 1

Step-by-step explanation:

Given that:

-12/26

-49/70

-9/16

28/-105

To find:Which of the following numbers is in standard form ?

Solution:

Definition: A standard rational number is that number in which numerator and denominator are Co-prime numbers.

So, we have to check in each case

$1) \frac{ - 12}{26} \\ \\ = \frac{ - 2 \times 2 \times 3}{2 \times 13}$

As one can easily see that 2 is common in both,thus numerator and denominator are not Co-prime.

Thus this number is not in standard form.

$2) \frac{ - 49}{70} = \frac{ - 7 \times 7}{2 \times 5 \times 7}$

As one can easily see that 7 is common in both,thus numerator and denominator are not Co-prime.

Thus this number is not in standard form.

$3) \frac{ - 9}{16} = \frac{ - 3 \times 3}{2 \times 2 \times 2 \times 2}$

As one can easily see that there is nothing common in both,thus numerator and denominator are Co-prime numbers.

Thus, this number is in standard form.

$4) \frac{28}{ - 105} = \frac{ - 28}{105} \\ \\ = \frac{ - 2 \times 2 \times 7}{3 \times 5 \times 7}$

As one can easily see that 7 is common in both,thus numerator and denominator are not Co-prime.

Thus this number is not in standard form.

Thus,

-9/16 is in standard form.

Hope it helps you.

Answer 2

-9/16 is a standard form...