To solve the equation 2 3/4 / 4 1/8 = 1.6 / t, we first need to convert the mixed fractions into improper fractions.
2 3/4 can be written as (2 * 4 + 3) / 4 = 11/4 4 1/8 can be written as (4 * 8 + 1) / 8 = 33/8
So, the equation becomes (11/4) / (33/8) = 1.6 / t
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
(11/4) * (8/33) = 1.6 / t
Now, we can simplify the left side of the equation by multiplying the numerators and denominators.
(11 * 8) / (4 * 33) = 1.6 / t
88 / 132 = 1.6 / t
Now, to solve for t, we will cross multiply and solve for t.
88t = 132 * 1.6
88t = 211.2
Divide both sides by 88 to isolate t.
t = 211.2 / 88
t = 2.4
