Question

1) 4 7/12⋅(−1 3/11)−(−1 1/15)⋅(−45/64) 2)−81/88⋅(−6+(−1 13/15)⋅(−1 19/21))СРОЧНО ДАЮ 20 БАЛЛОВ

Answer 1

Ответ:

1) -6 7/12 Это ответ на первый пример.

2) 2 1/4. Это ответ на второй пример.

Answer 2

1. To solve the expression 4 7/12 ⋅ (-1 3/11) - (-1 1/15) ⋅ (-45/64), we'll simplify each term and then perform the calculations.

First, let's simplify the mixed numbers:

4 7/12 = (4 * 12 + 7)/12 = 55/12 -1 3/11 = (-1 * 11 + 3)/11 = -8/11 -1 1/15 = (-1 * 15 + 1)/15 = -14/15

Now, we can substitute these values into the expression and calculate:

(55/12) * (-8/11) - (-14/15) * (-45/64)

To simplify this further, we can multiply the numerators and denominators separately:

[(55 * -8)/(12 * 11)] - [(-14 * -45)/(15 * 64)]

= (-440/132) - (630/960)

Next, we need to find a common denominator for subtraction:

(-440/132) = (-440/132) * (8/8) = (-3520/1056) (630/960) = (630/960) * (11/11) = (6930/10560)

Now, we can perform the subtraction:

(-3520/1056) - (6930/10560) = (-3520 * 10560 - 6930 * 1056)/(1056 * 10560) = (-37075200 - 7303680)/(11166720) = -44378880/11166720 = -4437/1116

Therefore, the value of the expression is -4437/1116.

2. To solve the expression -81/88 ⋅ (-6 + (-1 13/15) ⋅ (-1 19/21)), we'll simplify the mixed numbers first:

-1 13/15 = (-1 * 15 + 13)/15 = -2/15 -1 19/21 = (-1 * 21 + 19)/21 = -2/21

Now, we can substitute these values into the expression and calculate:

-81/88 * (-6 + (-2/15) * (-2/21))

Multiplying the fractions:

(-2/15) * (-2/21) = (4/15 * 21/2) = 4/5

Substituting this back into the expression:

-81/88 * (-6 + 4/5)

Next, we find a common denominator for addition:

(-6) = (-6) * (88/88) = -528/88 (4/5) = (4/5) * (88/88) = 352/88

Now, we can perform the addition:

-81/88 * (-528/88 + 352/88) = -81/88 * (-176/88) = (81 * 176)/(88 * 88) = 14256/7744 = 177/97

Therefore, the value of the expression is 177/97.