## one fifth ÷ 4 = ⬜ Luis said the solution is 20. Matt said the solution is .1/20 Who is correct? Explain your reasoning.

Question

one fifth ÷ 4 = ⬜
Luis said the solution is 20.
Matt said the solution is .1/20
Who is correct? Explain your reasoning.

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3 months 2022-02-02T10:15:18+00:00 1 Answer 0 views 0

1. Matt said the solution 1/20 is the correct answer.

Step-by-step explanation:

step 1 :

one fifth ÷ 4 = one part in five equal parts / 4

= (1/5) / 4

The expression can be written as (1/5) / (4/1)

step 2 :

To solve the division of fractions, take reciprocal of the denominator and do multiplication.

The reciprocal of denominator (4/1) is 1/4.

step 3 :

(1/5) / (4/1) = (1/5) $$\times$$ (1/4)

= 1/20

∴ Matt said the solution is 1/20 is correct.