Question

Use multiplication to show how how many twenty fourths equal 3/6

Answer 1

10 times

Explanation:

To figure this out, the first thing we will do is to find the LCM (Least Common Multiple). We will do this by making a list of the denominators that we have right now. Right now we have
`(20)/(4)` and
`(3)/(6)`. We will use 4 and 6 to make a list to find our multiple that is in both lists. (That comes up first)

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32...

Multiples of 6: 6, 12, 18, 24, 30, 36, 42...

Now, we just realized that we have 24 that are in common with both 4 and 6. Now we will multiply both the numerator and denominator by the same number to have the denominator equal 24.

`(20)/(4) * (6)/(6)` =
`(120)/(24)` &
`(3)/(6) * (4)/(4)` =
`(12)/(24)`

Now that we have
`(120)/(24)` and
`(12)/(24)`. We will read the question again about how many
`(3)/(6)` equal to
`(20)/(4)`. Since we have our fractions, we will add
`(12)/(24)` multiple times until we get
`(120)/(24)`.

`(12)/(24) + (12)/(24) + (12)/(24) + (12)/(24) + (12)/(24) + (12)/(24) + (12)/(24) + (12)/(24) + (12)/(24) + (12)/(24) = (120)/(24)`

Therefore,
`(3)/(6)` equals to
`(20)/(4)` 10 times.