To solve the equation:
2 3/4 divided by 4 1/8 equals 1.6 divided by t.
First, let's convert the mixed fractions into improper fractions.
2 3/4 is equivalent to (4*2 + 3)/4 = 11/4
4 1/8 is equivalent to (8*4 + 1)/8 = 33/8
Now, the equation becomes:
11/4 / 33/8 = 1.6 / t
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
(11/4) * (8/33) = 1.6 / t
Simplifying the left side of the equation:
(11 * 8) / (4 * 33) = 1.6 / t
88/132 = 1.6 / t
Now, to solve for t, we can cross-multiply:
88t = 1.6 * 132
88t = 211.2
t = 211.2 / 88
t ≈ 2.40
Therefore, the value of t is approximately 2.40.
