Найдите значения выражения: (-5/8) * (-4/5) * (-3/4) * (-2/3) * (-1/2); (-7/12) * (-6/7) * (-5/6) * (-4/5) + 2/3; (-11/15) * (-10/11) * (-9/10) + (-7/9) * (-6/7) + 4/15

Question

Алиса Дубова

Математика

13 сентября, 00:37

Найдите значения выражения: (-5/8) * (-4/5) * (-3/4) * (-2/3) * (-1/2); (-7/12) * (-6/7) * (-5/6) * (-4/5) + 2/3; (-11/15) * (-10/11) * (-9/10) + (-7/9) * (-6/7) + 4/15

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Владимир Матвеев · Answer 1

а) (-5/8) * (-4/5) * (-3/4) * (-2/3) * (-1/2) = - 1/8 = - 0,125;

1. (-5/8) * (-4/5) = - 5 * (-4) / 8 * 5 = - 1 * (-1) / 2 * 1 = 1/2;

2. 1/2 * (-3/4) = 1 * (-3) / 2 * 4 = - 3/8;

3. - 3/8 * (-2/3) = - 3 * (-2) / 8 * 3 = - 1 * - 1/4 * 1 = 1/4;

4. 1/4 * (-1/2) = 1 * (-1) / 4 * 2 = - 1/8 = - 0,125;

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

1. - 7/12 * (-6/7) = 42/84 = 1/2;

2. 1/2 * (-5/6) = - 5/12;

3. - 5/12 * (-4/5) = 20/60 = 1/3;

4. 1/3 + 2/3 = (1 + 2) / 3 = 3/3 = 1;

в) (-11/15) * (-10/11) * (-9/10) + (-7/9) * (-6/7) + 4/15 = 1/3;

1. - 11/15 * (-10/11) = 110/165 = 2/3;

2. 2/3 * (-9/10) = - 18/30 = - 3/5;

3. - 7/9 * (-6/7) = 42/63 = 2/3;

4. - 3/5 + 2/3 = - 9/15 + 10/15 = (-9 + 10) / 15 = 1/15;

5. 1/15 + 4/15 = 5/15 = 1/3;