What is 2 2/3 x 3 1/3 x 2 1/3

Mathematics

1 answer:

madreJ [45]3 years ago

7 0

Answer:

20 20/27

Step-by-step explanation:

(2 2/3)(3 1/3)(2 1/3) = (8/3)(10/3)(7/3) = 560/27 = 20 20/27

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<em>Additional comment</em>

The first two numbers can be written as a difference and a sum:

= (3 -1/3)(3 +1/3)(2 1/3)

= (3·3 -1/3·3 +3·1/3 -1/3·1/3)(2 1/3)

= (9 -1/9)(2 +1/3) = 9·2 +9·1/3 -1/9·2 -1/9·1/3 = 18 +3 -6/27 -1/27

= 20 20/27

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