Question

what is the standard form of-56/-72​

Answer 1

Answer:

7/9

Step-by-step explanation:

-56/-72

=) 56/72

dividing by 8

=) 7/9

Answer 2

Answer:

The standard form of $\frac{-56}{-72}$ is the number $\frac{7}{9}$.

Step-by-step explanation:

Standard form: A fraction is said to be in standard form when both the numerator and denominator are co-prime numbers.

Co-prime: Two natural numbers are said to be co-prime when their highest common factor is 1.

Consider the fraction as follows:

$\frac{-56}{-72}$ ...... (1)

Factors of 56 are:

56 = $2$ × $2$ × $2$ × $7$

Factors of 72 are:

72 = $2$ × $2$ × $2$ × $3$ × $3$

Multiply the expression (1) by 8, we get

$\frac{-56}{-72}=-\frac{-7}{9}$

⇒ $\frac{-56}{-72}=\frac{7}{9}$ (Using rule of sign, (-) × (-) = (+))

Notice that the numbers 7 and 9 are co-primes, i.e., the highest common factor of 7 and 9 is 1.

Therefore, the standard form of $\frac{-56}{-72}$ is the number $\frac{7}{9}$.

#SPJ3