Question

2 2/3 : 2 + (4/15 + 2/5) : (31/3 • 3/5)​

Answer 1

удачи! пожалуйста, отметь как лучший

Answer 2

To simplify the expression, let's start by performing the operations step by step:

1. Start with the first part of the expression: 2 2/3 : 2

To divide a mixed number by an integer, you can first convert the mixed number to an improper fraction and then perform the division:

2 2/3 = (3 * 2 + 2) / 3 = 8/3

Now, divide 8/3 by 2:

(8/3) / 2 = (8/3) * (1/2) = 8/6 = 4/3

2. Moving on to the second part of the expression: (4/15 + 2/5) : (31/3 • 3/5)

First, simplify the fractions within the parentheses:

4/15 + 2/5 = (4/15) + (6/15) = 10/15

Now, simplify the expression inside the second set of parentheses:

31/3 • 3/5 = (31/3) * (3/5) = 31/5

Now, divide 10/15 by 31/5:

(10/15) / (31/5) = (10/15) * (5/31) = (2/3) * (1/31) = 2/93

Now, let's put everything back together:

2 2/3 : 2 + 2/93

Now, you can add the two results together:

4/3 + 2/93

To add these fractions, find a common denominator, which is 93 in this case:

(4/3 * 31/31) + (2/93 * 3/3) = (124/93) + (6/93)

Now, add the fractions:

(124/93) + (6/93) = 130/93

You can simplify this fraction further:

130/93 = 10/7

So, the simplified value of the expression is 10/7.