To solve the equation 2 3/4 ÷ 4 1/8 = 1.6 ÷ t, we need to convert all the quantities to improper fractions and then solve for t:
2 3/4 = (2 * 4 + 3) / 4 = 11/4
4 1/8 = (4 * 8 + 1) / 8 = 33/8
Now, we have 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
(11 * 8) / (4 * 33) = 1.6 ÷ t
88 / 132 = 1.6 ÷ t
Now, we can cross-multiply:
88t = 1.6 * 132
88t = 211.2
Divide both sides by 88:
t = 211.2 / 88
t ≈ 2.4
Therefore, the value of t that satisfies the equation is approximately 2.4.
