Question

-7 1/2÷3 3/4 -5 4/9÷(-2 1/3) 9 1/3÷(-6 2/9​

Answer 1

Ответ:

-7 1/2÷3 3/4 -5 4/9÷(-2 1/3) 9 1/3÷(-6 2/9= -8263/1023

Answer 2

Let's break down this expression step by step:

1. -7 1/2 ÷ 3 3/4

First, convert the mixed numbers to improper fractions:

-7 1/2 = -15/2 3 3/4 = 15/4

Now, divide the fractions:

(-15/2) ÷ (15/4) = (-15/2) * (4/15)

Now, simplify by canceling common factors:

(-15/2) * (4/15) = (-1/2) * (4/1) = -2

So, the result of the first part is -2.

2. -5 4/9 ÷ (-2 1/3)

Again, convert the mixed numbers to improper fractions:

-5 4/9 = -49/9 -2 1/3 = -7/3

Now, divide the fractions:

(-49/9) ÷ (-7/3) = (-49/9) * (-3/7)

Simplify by canceling common factors:

(-49/9) * (-3/7) = (7/9) * (3/1) = 21/9 = 7/3

So, the result of the second part is 7/3.

3. 9 1/3 ÷ (-6 2/9)

Convert the mixed numbers to improper fractions:

9 1/3 = 28/3 -6 2/9 = -56/9

Now, divide the fractions:

(28/3) ÷ (-56/9) = (28/3) * (-9/56)

Simplify by canceling common factors:

(28/3) * (-9/56) = (4/3) * (-1/2) = -2/3

So, the result of the third part is -2/3.

Now, let's put it all together:

-2 - 7/3 - 2/3

To subtract these fractions, find a common denominator, which is 3:

-2 = -6/3

Now, rewrite the fractions with a common denominator:

-6/3 - 7/3 - 2/3

Combine the fractions:

(-6 - 7 - 2)/3 = -15/3

Simplify the fraction:

-15/3 = -5

So, the final result of the expression is -5.