Question

1) ( - 3,4+7) × ( - 1 7/18) 2) (6 2/9 - 5 5/6) : ( - 7/36)

Answer 1

Ответ:

Объяснение:

На фото

Answer 2

1) 36/10*(-25/18)=5

2) (56/9-35/6)*(-36/7)=(336-315/54)*(-36/7)=21/54*(-36/7)=-2

Answer 3

Let's simplify the expressions:

1. ( - 3,4+7) × ( - 1 7/18)

First, simplify the addition inside the parentheses: -3,4 + 7 = -3.4 + 7 = 3.6

Now, multiply by -1 7/18: 3.6 × (-1 7/18)

To multiply a mixed number by a fraction, convert the mixed number to an improper fraction and then multiply: -1 7/18 = -18/18 - 7/18 = -25/18

Now, multiply: 3.6 × (-25/18)

To multiply a decimal by a fraction, convert the decimal to a fraction: 3.6 = 36/10

Now multiply the fractions: (36/10) × (-25/18)

To simplify, first cancel out common factors in the numerator and denominator. In this case, 2 is a common factor: (18/5) × (-25/9)

Now, multiply the numerators and denominators: (18 × -25) / (5 × 9) = (-450) / 45

Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 45: (-450/45) ÷ (45/45) = -10

So, the result of the first expression is -10.

2. (6 2/9 - 5 5/6) : ( - 7/36)

First, subtract the mixed numbers: 6 2/9 - 5 5/6

To subtract mixed numbers, convert them to improper fractions first: 6 2/9 = (9 * 6 + 2)/9 = (54 + 2)/9 = 56/9 5 5/6 = (6 * 5 + 5)/6 = (30 + 5)/6 = 35/6

Now, subtract the fractions: (56/9) - (35/6)

To subtract fractions, find a common denominator, which in this case is 18:

(56/9) = (56/9) * (2/2) = (112/18) (35/6) = (35/6) * (3/3) = (105/18)

Now subtract the fractions:

(112/18) - (105/18) = (112 - 105)/18 = 7/18

Now, divide by -7/36:

(7/18) ÷ (-7/36)

To divide by a fraction, multiply by its reciprocal:

(7/18) * (-36/7)

Now, simplify:

(7 * -36) / (18 * 7) = (-252) / 126

Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 126:

(-252/126) ÷ (126/126) = -2

So, the result of the second expression is -2.