Terrence had drunk 3/4
of a carton of orange juice by the end of the week. If he drank 2 8/9
times as much apple juice as he did orange juice, how many cartons of apple juice did he drink?
(Must be in simplest form)
Terrence drank 3/4 of a carton of orange juice. To find out how much apple juice he drank, we need to multiply the amount of orange juice by 2 8/9.
First, let's convert 2 8/9 to an improper fraction. We can do this by multiplying the whole number (2) by the denominator (9) and adding the numerator (8), then putting the result over the denominator: (2 * 9 + 8) / 9 = 26/9.
Next, we multiply 3/4 by 26/9: (3/4) * (26/9) = 78/36.
To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor, which is 6: 78/6 = 13/2.
Therefore, Terrence drank 13/2 cartons of apple juice.