76.5k views
1 vote
One fifth ÷ 4 = ⬜

Luis said the solution is 20.
Matt said the solution is .1/20
Who is correct? Explain your reasoning.

User Liewl
by
3.5k points

1 Answer

5 votes

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

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)
* (1/4)

= 1/20

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

User Lovelee
by
3.5k points