Question

What is 3/4 of 8/9? Make sure the answer is fully reduced.

Answer 1

`(2)/(3)`

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Solve

"Of" means to multiply, so start off the equation multiplying the top numbers by the top numbers, and the bottom numbers by the bottom numbers as though they are whole numbers.

`(3*8)/(4*9) = (24)/(36)`

Find the greatest common factors of 24 and 36, starting with 24

24: 1, 2, 3, 4, 6, 8, 12, 24

36: 1, 2, 3, 4, 6, 9, 12, 18, 36

As shown, the greatest common factors are 12, so divide by 12 to simplify.

`(24 / 12)/(36/12) = (2)/(3)`

Two-thirds cannot be simplified, so that will be your final answer.