she is correct. Division is the reciprocal operation of multipliation.
a multipled by 2= 2a
a divided by 2 = 1/2 a
z divided by k/m= zm/k
a multipled by 2= 2a
a divided by 2 = 1/2 a
z divided by k/m= zm/k
First, let's consider dividing by 4/5:
Dividing by 4/5 can be thought of as multiplying by the reciprocal of 4/5. The reciprocal of a fraction is obtained by swapping the numerator and denominator.
So, dividing by 4/5 is the same as multiplying by 5/4.
Now let's consider multiplying by 5 then dividing by 4:
Multiplying by 5 and then dividing by 4 can be expressed as (5/1) * (1/4).
To multiply fractions, we multiply the numerators to get the new numerator and multiply the denominators to get the new denominator. Thus, (5/1) * (1/4) is equal to (5*1)/(1*4) = 5/4.
By comparing the results, we see that dividing by 4/5 and multiplying by 5 then dividing by 4 both yield the same result of 5/4. Therefore, Alyssa's claim is correct.