Question

2:3 1/5+(3 1/4-2/3) :3-(2 5/18-17/36):65/18

Answer 1

2:3 1/5+(3 1/4-2/3) :3-(2 5/18-17/36):65/18Ответ 71/72

Answer 2

Let's break this down step by step:

First, let's simplify the expression inside the parentheses:

3 1/4 - 2/3 = (12/4 + 3/4) - 2/3 = 15/4 - 2/3

Now we need a common denominator to add or subtract fractions. The least common multiple of 4 and 3 is 12, so we can convert both fractions to have a denominator of 12:

15/4 - 2/3 = (15/4) * (3/3) - (2/3) * (4/4) = 45/12 - 8/12 = 37/12

Now let's simplify the expression outside the parentheses:

1/5 + 37/12 = (12/60 + 37/12) = 2/30 + 185/60 = (2 + 185)/60 = 187/60

Next, let's simplify the expression in the second set of parentheses:

2 5/18 - 17/36 = (36/18 + 5/18) - 17/36 = 41/18 - 17/36

Again, we need a common denominator to add or subtract fractions. The least common multiple of 18 and 36 is 36, so we can convert both fractions to have a denominator of 36:

41/18 - 17/36 = (41/18) * (2/2) - (17/36) * (1/1) = 82/36 - 17/36 = 65/36

Now let's simplify the expression outside the parentheses:

3 - 65/36 = (108/36) - (65/36) = 43/36

Finally, let's divide the first expression by the second expression:

(187/60) / (43/36) = (187/60) * (36/43) = (17/60) * (36/1) = 17/10

So the final answer is 17/10.