can someone explain to me why (3)/(5) and (27)/(45) are equivalent fractions.

If you simplify 27/45 by dividing the numerator and the denominator by 9 you will get 3/5.

27/25/9
27/25*1/9=3/5
3/25=3/5
5*3=3*25
15=75
75/15=3

If u multiply 3/5 by 9/9 you get 27/45

Oh didn't even think about that...
thank you

Sure, I can explain why the fractions (3/5) and (27/45) are equivalent. To determine if two fractions are equivalent, we need to check if they represent the same value.

To simplify (27/45), we notice that both the numerator (27) and denominator (45) have a common factor, which is 9. By dividing both the numerator and denominator by 9, we get:

(27/45) ÷ 9 = (3/5)

So, (27/45) simplifies to (3/5).

Alternatively, to show that (3/5) is equivalent to (27/45), we can multiply (3/5) by a certain value that results in the numerator and denominator of (27/45). In this case, if we multiply (3/5) by (9/9), we get:

(3/5) x (9/9) = (27/45)

So, by multiplying both the numerator and denominator of (3/5) by 9, we obtain (27/45).

Therefore, (3/5) and (27/45) are equivalent fractions.