Question

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Answer 1

Answer:

x = 36/55

Step-by-step 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

Answer 2

Answer:

4th answer is correct

Step-by-step explanation:

$3 \frac{2}{3} x = 2 \frac{2}{5}$

Make those fractions as improper fractions.

$\frac{11x}{3} = \frac{12}{5}$

Use cross multiplication and solve for x.

$11x \times 5 = 3 \times 12$

$55x = 36$

Divide both sides by 55.

$\frac{55x}{55} = \frac{36}{55} \\ x = \frac{36}{55}$