Question

( 12 : 3 3/5 + 2/3 ) : 11/2 - 11/3 дроби

Answer 1

Ответ:

12:3 3/5=3 1/3

3 1/3+2/3=3 3/3=4

4:11/2=8/11

8/11-11/3= -2 31/33

Answer 2

To solve the given expression involving fractions, follow these steps:

Step 1: Perform the operations within parentheses first. Step 2: Simplify the resulting fraction from Step 1. Step 3: Perform the division by the mixed number (11/2) and the fraction (11/3).

Let's solve it step by step:

Step 1: Inside the parentheses, we have two fractions: (3 3/5) = (3 + 3/5) = (15/5 + 3/5) = 18/5

Now, we need to add 2/3 to 18/5: (18/5 + 2/3)

To add these fractions, we need a common denominator. The least common multiple (LCM) of 5 and 3 is 15.

(18/5) * (3/3) = 54/15 (2/3) * (5/5) = 10/15

Now we can add the fractions: (54/15 + 10/15) = 64/15

Step 2: Now we have (64/15) from inside the parentheses.

Step 3: To divide by a mixed number (11/2), we convert it to an improper fraction: (11/2) = 2 * (11/2) = 22/2 = 11

Now, we can perform the division: (64/15) ÷ (11/3)

To divide fractions, we multiply by the reciprocal of the divisor: (64/15) * (3/11)

Now, multiply the numerators and denominators: (64 * 3) / (15 * 11) = 192 / 165

So, the final result is 192/165.