Question

1/2:(-2/3):3/4:(-4/5):5/6 По действиям!

Answer 1

Ответ:

Смотрите фотографию ниже.

Answer 2

To simplify the expression 1/2 : (-2/3) : 3/4 : (-4/5) : 5/6, we need to perform the division operations in the correct order.

Step 1: Simplify (-2/3) / (3/4): To divide a fraction by another fraction, we multiply the first fraction by the reciprocal of the second fraction. So, (-2/3) / (3/4) becomes (-2/3) * (4/3). Multiplying the numerators gives (-2 * 4) and multiplying the denominators gives (3 * 3). Therefore, (-2/3) / (3/4) simplifies to (-8/9).

The expression now becomes: 1/2 : (-8/9) : 3/4 : (-4/5) : 5/6.

Step 2: Simplify (-8/9) / (3/4): Similarly, we multiply (-8/9) by the reciprocal of (3/4). (-8/9) / (3/4) becomes (-8/9) * (4/3). Multiplying the numerators gives (-8 * 4) and multiplying the denominators gives (9 * 3). Therefore, (-8/9) / (3/4) simplifies to (-32/27).

The expression now becomes: 1/2 : (-32/27) : 3/4 : (-4/5) : 5/6.

Step 3: Simplify 3/4 / (-4/5): Following the same process, we multiply (3/4) by the reciprocal of (-4/5). (3/4) / (-4/5) becomes (3/4) * (-5/4). Multiplying the numerators gives (3 * -5) and multiplying the denominators gives (4 * 4). Therefore, (3/4) / (-4/5) simplifies to (-15/16).

The expression now becomes: 1/2 : (-32/27) : (-15/16) : 5/6.

Step 4: Simplify (-32/27) / (-15/16): Once again, we multiply (-32/27) by the reciprocal of (-15/16). (-32/27) / (-15/16) becomes (-32/27) * (16/15). Multiplying the numerators gives (-32 * 16) and multiplying the denominators gives (27 * 15). Therefore, (-32/27) / (-15/16) simplifies to (512/405).

The expression now becomes: 1/2 : (512/405) : 5/6.

Step 5: Simplify (512/405) / (5/6): Finally, we multiply (512/405) by the reciprocal of (5/6). (512/405) / (5/6) becomes (512/405) * (6/5). Multiplying the numerators gives (512 * 6) and multiplying the denominators gives (405 * 5). Therefore, (512/405) / (5/6) simplifies to (3072/2025).

The final simplified expression is: 1/2 : 3072/2025 : 5/6.