Question

A) 4 2/3 + 1 1/3 * 3 - 9 1/6 =b) 13/15 - 2 1/2 * 4 + 2 * 2 2/5 =Решите по действиям​

Answer 1

Ответ:

А)

1)1 1/3*3=4

2)4 2/3+4=8 2/3

3)8 2/3 - 9 1/6= - 1/4

В)

1)2 1/2*4=10

2)2*2 2/5=5 1/5

3)10+5 1/5= 15 1/5

4)13/15-15 1/5= - 14 1/3

Answer 2

A) To solve the expression 4 2/3 + 1 1/3 * 3 - 9 1/6, let's perform the operations step by step:

Step 1: Multiplication 1 1/3 * 3 = (4/3) * 3 = 4/3 * 3/1 = 12/3 = 4

Step 2: Addition and subtraction 4 2/3 + 4 - 9 1/6

Converting mixed numbers to improper fractions: 4 2/3 = (4 * 3 + 2) / 3 = 14/3 9 1/6 = (9 * 6 + 1) / 6 = 55/6

Now we have: 14/3 + 4 - 55/6

To add these fractions, we need a common denominator. The common denominator of 3 and 6 is 6. Let's convert the fractions:

14/3 = (14/3) * (2/2) = 28/6 55/6 = 55/6

Now we have: 28/6 + 4 - 55/6

Combining the numerators and keeping the denominator the same, we get: (28 + 4 - 55) / 6 = -23/6

Therefore, the result of the expression 4 2/3 + 1 1/3 * 3 - 9 1/6 is -23/6.

B) To solve the expression 13/15 - 2 1/2 * 4 + 2 * 2 2/5, let's follow the same steps as before:

Step 1: Multiplication 2 1/2 * 4 = (5/2) * 4 = 5/2 * 4/1 = 20/2 = 10

2 2/5 = (2 * 5 + 2) / 5 = 12/5

Now we have: 13/15 - 10 + 2 * 12/5

Step 2: Multiplication 2 * 12/5 = (2/1) * (12/5) = 24/5

Now we have: 13/15 - 10 + 24/5

Step 3: Addition and subtraction

To add or subtract fractions, we need a common denominator. The common denominator of 15 and 5 is 15. Let's convert the fractions:

13/15 = 13/15 24/5 = (24/5) * (3/3) = 72/15

Now we have: 13/15 - 10 + 72/15

Combining the numerators and keeping the denominator the same, we get: (13 - 10 + 72) / 15 = 75/15 = 5

Therefore, the result of the expression 13/15 - 2 1/2 * 4 + 2 * 2 2/5 is 5.