Question

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Answer 1

4th answer is correct

Explanation:

`3 (2)/(3) x = 2 (2)/(5)`

Make those fractions as improper fractions.

`(11x)/(3) = (12)/(5)`

Use cross multiplication and solve for x.

`11x * 5 = 3 * 12`

`55x = 36`

Divide both sides by 55.

`(55x)/(55) = (36)/(55) \\ x = (36)/(55)`

Answer 2

x = 36/55

Explanation:

3 2/3 x = 2 2/5

Solve for x

Change the mixed numbers to improper fractions

3 2/3 = ( 3*3 + 2) /3 = (9+2)/3 = 11/3

2 2/5 = ( 5*2 + 2)/5 = ( 10+2)/5 = 12/5

11/3 x = 12/5

Multiply each side by 3/11 to isolate x

3/11 * 11/3 x = 12/5 * 3/11

x = 36/55