Question

-2/3:4/9-2/5:(-4/15)​

Answer 1

Ответ:

-2/3:4/9-2/5:(-4/15)​=-2/3*9/4-2/5*(-15/4)=-18/12+30/20=-6/4+6/4=0

Answer 2

Ответ:

Надеюсь, что помогла!

Извините, в 3 действии ошибка.

3) -1,5+1,5=0

Answer 3

To evaluate the expression, let's first perform the operations step by step:

1. Subtract fractions with like denominators:

   • 4/9 - 2/5 To subtract fractions with like denominators, we keep the denominator the same and subtract the numerators.

   Common denominator: 9 * 5 = 45 (4/9) - (2/5) = (20/45) - (18/45) = (20 - 18)/45 = 2/45

2. Divide fractions:

   • 2/3 ÷ 2/15 To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.

   (2/3) ÷ (2/15) = (2/3) * (15/2) = (2 * 15) / (3 * 2) = 30/6 = 5

Now, we have the following expression:

-2/3 : 4/9 - 2/5 : (-4/15)

Replacing the fractions with the results we obtained:

-2/3 : 2/45 - 5 : (-4/15)

Next, let's continue solving the expression:

3. Multiply fractions by a negative number: -5 * (-4/15) = 20/15 = 4/3

Now, the expression becomes:

-2/3 : 2/45 - 4/3

4. Convert the division to multiplication by the reciprocal: -2/3 ÷ 2/45 = -2/3 * 45/2 To multiply fractions, multiply the numerators and denominators.

   (-2/3) * (45/2) = (-2 * 45) / (3 * 2) = -90/6 = -15

Now, the expression becomes:

-15 - 4/3

5. Convert the subtraction of a whole number and a fraction to a single fraction: -15 = -15/1

Now, the expression becomes:

-15/1 - 4/3

6. Find the common denominator and subtract the fractions: The common denominator is 3.

   (-15/1) - (4/3) = (-15 * 3)/(1 * 3) - 4/3 = (-45)/3 - 4/3 = (-45 - 4)/3 = -49/3

The final result is -49/3.