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

bobpursley bobpursley answered
9 years ago

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

niyah niyah answered
9 years ago

I need help with fractions

KAT KAT answered
4 years ago

How are butts related to math?

Explain Bot Explain Bot answered
8 months ago

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.

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