11/15*(4 1/2-3 2/5:17/20)+1 11/20= пж по действиям

Предыдущий
вопрос Следующий
вопрос

To solve this expression, we need to follow the order of operations: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

First, let's work inside the parentheses:

4 1/2 = 9/2
3 2/5 = 17/5

9/2 - 17/5 = (45/10) - (34/10) = (11/10)

Now let's substitute this back into the original expression:

11/15 11/10 17/20 + 1 11/20

To multiply the fractions, we can simplify first:

11/15 = 11/15
11/10 = 33/30
17/20 = 17/20

Now multiply the fractions:

(11/15) (33/30) (17/20) = (187/300)

Add this to the remaining fraction:

(187/300) + (1 11/20) = (187/300) + (31/20) = (187/300) + (465/300) = (652/300)

Finally, simplify the fraction:

652/300 = 163/75

Therefore, the result of the expression is 163/75.