Question

1) -56/81 : (-32/63) 2) - 1 17/18 : 3 1/9

Answer 1

Ответ:

Решение указано свыше

Удачи

Answer 2

To simplify the given expressions, let's perform the calculations step by step:

1. -56/81 : (-32/63)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

-56/81 : (-32/63) = -56/81 * (-63/32)

Next, we multiply the numerators together and the denominators together:

(-56 * -63) / (81 * 32)

Simplifying further, we get:

3528 / 2592

To reduce the fraction to its simplest form, we can divide both the numerator and denominator by their greatest common divisor, which is 216:

3528 / 2592 = (3528 ÷ 216) / (2592 ÷ 216) = 16/12

Further simplifying, we divide both the numerator and denominator by their greatest common divisor, which is 4:

16/12 = (16 ÷ 4) / (12 ÷ 4) = 4/3

Therefore, -56/81 : (-32/63) simplifies to 4/3.

2. • 1 17/18 : 3 1/9

To divide mixed numbers, we need to convert them to improper fractions first:

• 1 17/18 = - (18/18 + 17/18) = - (35/18)

3 1/9 = 3 + 1/9 = 27/9 + 1/9 = 28/9

Now, we can divide the two fractions:

• (35/18) : (28/9) = - (35/18) * (9/28)

Multiplying the numerators and denominators, we get:

(-35 * 9) / (18 * 28)

Simplifying further:

-315 / 504

To reduce the fraction to its simplest form, we can divide both the numerator and denominator by their greatest common divisor, which is 9:

-315 / 504 = (-315 ÷ 9) / (504 ÷ 9) = -35/56

Therefore, - 1 17/18 : 3 1/9 simplifies to -35/56.