Question

(-3/11+3/5)-(-0,26-0,74)-1 10/12​

Answer 1

(-3/11 + 3/5) - (-0,26 - 0,74) - 1 10/12

1)$-\frac{3}{11} + \frac{3}{5} = -\frac{15}{55} + \frac{33}{55} = \frac{18}{55}$

2) -0,26 - 0,74 = -1

3) $\frac{18}{55} -(- 1 )= \frac{18}{55} + \frac{55}{55} = \frac{73}{55}$

4)$\frac{73}{55} - 1\frac{10}{12} = \frac{73}{55} - \frac{22}{12} =\frac{438}{330} - \frac{605}{330} = -\frac{167}{330}$

Ответ: $-\frac{167}{330}$.

Answer 2

To simplify the expression (-3/11 + 3/5) - (-0.26 - 0.74) - 1 10/12, we can follow the order of operations (PEMDAS/BODMAS):

First, let's simplify the fractions:

-3/11 + 3/5 = (-15/55 + 33/55) = 18/55

Now, let's simplify the subtraction within the parentheses:

-0.26 - 0.74 = -1.00

Now we have: (18/55) - (-1.00) - 1 10/12

Next, let's convert 1 10/12 to an improper fraction:

1 10/12 = (1 * 12 + 10) / 12 = 22/12

Now, we substitute the fractions back into the expression:

(18/55) - (-1.00) - (22/12)

To perform subtraction, we need to change the sign of the second term:

(18/55) + 1.00 - (22/12)

To add fractions, we need a common denominator:

The least common multiple (LCM) of 55 and 12 is 660.

Multiplying the first fraction by 12/12 and the second fraction by 55/55:

(18/55)(12/12) + (1.00)(55/55) - (22/12)*(55/55)

Now we have:

(216/660) + (55/55) - (1210/660)

To add the fractions with a common denominator:

(216/660) + (55/55) - (1210/660) = (216+660)/660 + 55/55 - 1210/660

Simplifying further:

(876/660) + (55/55) - (1210/660) = 876/660 + 55/55 - 1210/660

Since 55/55 equals 1, we can substitute it:

(876/660) + 1 - (1210/660) = 876/660 + 1 - 1210/660

Now, we need a common denominator:

(876/660) + 1 - (1210/660) = (876 + 660)/660 - 1210/660

Simplifying further:

(1536/660) - (1210/660) = (1536 - 1210)/660

Finally, we can perform the subtraction:

(326/660)

This fraction cannot be simplified further.