найди значения выражения а) (1-1/2) / (1/2-1/3). б) (4/9+1/3) / 2/3. в) (1/3+14) / (2-5/6). г) (1/2+1/4-2/5) / 4/5. д) (1 1/2-3/8) / 7. е). (1-1/4+3/8) / 3/4

Question

Arkashka

Математика

23 июля, 23:04

найди значения выражения а) (1-1/2) / (1/2-1/3). б) (4/9+1/3) / 2/3. в) (1/3+14) / (2-5/6). г) (1/2+1/4-2/5) / 4/5. д) (1 1/2-3/8) / 7. е). (1-1/4+3/8) / 3/4

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Полина Черкасова · Answer 1

Найдем значения выражений:

а) (1 - 1/2) / (1/2 - 1/3) = 1/2 / (3/6 - 2/6) = 1/2 / (1/6) = 1/2 * 6 = 6/2 = 3;

б) (4/9 + 1/3) / 2/3 = (4/9 + 3/9) / (2/3) = (7/9) / (2/3) = 7/9 * 3/2 = 7/3 * 1/2 = 7/6 = 1 1/6;

в) (1/3 + 1/4) / (2 - 5/6) = (4/12 + 3/12) / (12/6 - 5/6) = (7/12) / (7/6) = 7/12 * 6/7 = 6/12 = 1/2;

г) (1/2 + 1/4 - 2/5) / (4/5) = (10/20 + 5/20 - 8/20) / (4/5) = (15/20 - 8/20) / (4/5) = 7/20 / (4/5) = 7/20 * 5/4 = 7/4 * 1/4 = 7/16;

д) (1 1/2 - 3/8) / 7 = (3/2 - 3/8) / 7 = (12/8 - 3/8) / 7 = 9/8/7 = 9/8 * 1/7 = 9/56;

е) (1 - 1/4 + 3/8) / (3/4) = (24/24 - 6/24 + 9/24) / (3/4) = (24/24 + 3/24) / (3/4) = 27/24 * 4/3 = 27/3 * 4/24 = 9 * 1/6 = 3/2.