To solve this equation for t, we can cross multiply and then solve for t.
First, let's convert the mixed numbers to improper fractions:
2 3/4 = (24 + 3)/4 = 11/4 4 1/8 = (48 + 1)/8 = 33/8
Now we can rewrite the equation:
(11/4) / (33/8) = 1.6 / t
To simplify, we can multiply both sides by the reciprocal of (33/8):
(11/4) * (8/33) = 1.6 / t
Now multiply the numerators together and the denominators together:
(11 * 8) / (4 * 33) = 1.6 / t
88/132 = 1.6 / t
Now we can cross multiply:
88t = 132 * 1.6
88t = 211.2
Finally, divide both sides by 88 to solve for t:
t = 211.2 / 88
t ≈ 2.4
