Question

(-13.6+5.1)*1 3/17+(2 7/23-1 45/46):1 7/23

Answer 1

−6,50505949072- ответ;)

Answer 2

To simplify the expression, we'll start by converting all mixed numbers to improper fractions and then perform the operations step by step.

Step 1: Convert mixed numbers to improper fractions. -13.6 can be written as -13 6/10, and 5.1 can be written as 5 1/10. So, (-13.6 + 5.1) is equivalent to (-13 - 6/10 + 5 + 1/10) = (-8 - 5/10) = -8 1/2.

2 7/23 can be left as it is, and 1 45/46 can be written as 1 45/46.

1 7/23 can be written as 1 7/23.

Step 2: Perform the operations. (-13.6 + 5.1) * 1 3/17 + (2 7/23 - 1 45/46) : 1 7/23

= (-8 1/2) * 1 3/17 + (2 7/23 - 1 45/46) : 1 7/23

Next, let's convert the whole numbers and mixed numbers to improper fractions for easier calculations.

1 3/17 can be written as (17 + 3)/17 = 20/17.

1 7/23 can be written as (23 + 7)/23 = 30/23.

2 7/23 can be written as (23 + 7)/23 = 30/23.

1 45/46 can be written as (46 + 45)/46 = 91/46.

Now the expression becomes:

= (-17/2) * (20/17) + ((30/23) - (91/46)) : (30/23)

Step 3: Continue simplification.

(-17/2) * (20/17) + ((30/23) - (91/46)) : (30/23)

= -17/2 + ((30/23) - (91/46)) : (30/23)

Next, let's perform the division and subtraction inside the parentheses.

= -17/2 + (30/23 - 91/46) : (30/23)

Now, find a common denominator for (30/23) and (91/46), which is 46.

= -17/2 + ((30/23) - (91/46) * (2/2)) : (30/23)

= -17/2 + (30/23 - 182/46) : (30/23)

= -17/2 + (30/23 - 4) : (30/23)

Next, find a common denominator for (30/23) and (4), which is 23.

= -17/2 + ((30/23) * (23/23) - 4 * (23/23)) : (30/23)

= -17/2 + (30 - 92) : 30

= -17/2 + (-62) : 30

Now, find a common denominator for (-17/2) and (-62), which is 2.

= (-17 + (-62 * (2/2))) : 30

= (-17 - 124) : 30

= -141 : 30

Finally, let's simplify the fraction -141/30:

-141 ÷ 30 = -4 remainder (-21)

So, -141/30 can be written as -4 21/30, which can be further reduced to -4 7/10.

Therefore, the simplified expression is -4 7/10.