To solve for t, we'll start by converting the mixed numbers into improper fractions:
2 3/4 = 11/4 4 1/8 = 33/8
Now we can rewrite the equation:
(11/4) / (33/8) = 1.6 / t
To divide fractions, we invert the second fraction and multiply:
(11/4) * (8/33) = 1.6 / t
Multiplying the fractions on the left gives:
88/132 = 1.6 / t
To solve for t, we'll cross multiply and then solve for t:
88t = 132 * 1.6 88t = 211.2
Dividing both sides by 88 gives:
t = 211.2 / 88 t = 2.4
So, t = 2.4.
