( 2 5 / 14 × 4 2 /3 + 12 : 2 1/4 -15 1/4 ) : (4 7/18 -2 5/9 ) Можно по действиям -

Question

( 2  5 / 14 × 4 2 /3 + 12 : 2 1/4 -15 1/4 ) : (4 7/18 -2 5/9 ) Можно по действиям -

Accepted Answer

1) 2 5 /14 * 4 2/3 = 33/14 * 14/3 = (33 * 14)/(14 * 3) = 11;

2) 12 : 2 1/4 = 12 : 9/4 = 12 * 4/9 = (12 * 4)/9 = 16/3 = 5 1/3;

3) 11 + 5 1/3 - 15 1/4 = 10 12/12 + 5 4/12 - 15 3/12 = (10 + 5 - 15) (12 + 5 - 3)/12 = 14/12 = 7/6 = 1 1/6;

4) 4 7/18 - 2 5/9 = 3 25/18 - 2 10/18 = (3 - 2) (25 - 10)/18 = 1 15/18 = 33/18.

5) 7/6 : 33/18 = 7/6 * 18/33 = (7 * 18)/(6 * 33) = 7/11.

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