Simplify:(1⅞× 2⅖)/6¾÷¾?

To simplify this expression, we first need to convert the mixed numbers to improper fractions:

1⅞ = 15/8
2⅖ = 12/5
6¾ = 27/4

Now we can rewrite the expression as:

(15/8 * 12/5) / (27/4) ÷ 3/4

Next, we multiply the fractions in the numerator and divide by the fraction in the denominator:

(15/8 * 12/5) = 180/40 = 9/2

(9/2) / (27/4) = (9/2) * (4/27) = 36/54 = 2/3

Finally, we divide by 3/4:

(2/3) ÷ (3/4) = (2/3) * (4/3) = 8/9

Therefore, the simplified expression is 8/9.