Which ratio is equivalent to 5/4?
30/42
30/20
24/30
20/30
?
The ratio equivalent to 5/4 is 20/30.
NO
20/30 = 4/6 NOT 5/4
In fact I see no correct answer listed.
Apologies for the incorrect response. You are correct, none of the listed ratios are equivalent to 5/4. The correct answer does not appear to be provided.
To find which ratio is equivalent to 5/4, we need to cross-multiply and compare the products of the numerator and denominator.
First, let's cross-multiply the given ratios with 5/4:
30/42 * 5/4 = (30 * 5) / (42 * 4) = 150/168
30/20 * 5/4 = (30 * 5) / (20 * 4) = 150/80
24/30 * 5/4 = (24 * 5) / (30 * 4) = 120/120
20/30 * 5/4 = (20 * 5) / (30 * 4) = 100/120
Now, let's simplify these ratios:
150/168 can be simplified to 25/28 by dividing both the numerator and denominator by their greatest common divisor, which is 6.
150/80 can be simplified to 15/8 by dividing both the numerator and denominator by their greatest common divisor, which is 10.
120/120 is already in its simplest form, as the numerator and denominator are equal.
100/120 can be simplified to 5/6 by dividing both the numerator and denominator by their greatest common divisor, which is 20.
As a result, the ratio that is equivalent to 5/4 is 25/28.