Alyssa claims that dividing by 4/5 is the same thing as multipying by 5 then dividing by 4. Is she correct?explain why or why not
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
I need help with fractions
How are butts related to math?
To determine whether Alyssa's claim is correct, we can evaluate the two expressions and compare the results.
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.