Question

(-2 1/8)*(1 29/51)+(-1 23/42)*3 1/3(-4 2/3)*6​

Answer 1

-2*5/17*(7-221 1/221) примерно ровно 221,04896

Пожалуйста

Answer 2

To simplify the given expression, we can break it down into smaller steps. Let's start by simplifying each part separately:

1. (-2 1/8) * (1 29/51): To multiply these mixed numbers, first convert them to improper fractions.

   -2 1/8 = -17/8 1 29/51 = 80/51

   Now, multiply the fractions: (-17/8) * (80/51)

   To make the calculation easier, you can simplify before multiplying: (-17/8) * (80/51) = (-17/4) * (10/51)

   Now, multiply the numerators and denominators: (-17 * 10) / (4 * 51) = -170/204

   Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2: (-170/2) / (204/2) = -85/102

   Further simplify the fraction by dividing both the numerator and denominator by 17: (-85/17) / (102/17) = -5/6

2. (-1 23/42) * 3 1/3: Again, convert the mixed numbers to improper fractions:

   -1 23/42 = -65/42 3 1/3 = 10/3

   Now, multiply the fractions: (-65/42) * (10/3)

   To simplify before multiplying, we can cancel out common factors. The greatest common divisor of 42 and 3 is 3: (-65/3) * (10/1)

   Now, multiply the numerators and denominators: (-65 * 10) / (3 * 1) = -650/3

3. (-4 2/3) * 6: Convert the mixed number to an improper fraction:

   -4 2/3 = -14/3

   Now, multiply the fraction by 6: (-14/3) * 6

   To simplify, cancel out common factors. The greatest common divisor of 3 and 6 is 3: (-14/1) * (6/3)

   Now, multiply the numerators and denominators: (-14 * 6) / (1 * 3) = -84/3

   Simplify the fraction by dividing both the numerator and denominator by 3: (-84/3) / (3/3) = (-84/3) / 1 = -84/3 = -28

Now, we have simplified each part of the expression:

1. (-2 1/8) * (1 29/51) = -5/6
2. (-1 23/42) * 3 1/3 = -650/3
3. (-4 2/3) * 6 = -28

Now, we can combine these results:

(-5/6) + (-650/3) - 28

To add and subtract fractions, they must have the same denominator. In this case, the common denominator for -5/6 and -650/3 is 6. So, we need to rewrite -28 with a denominator of 6:

-28 = (-28 * 6/6) = -168/6

Now, we can add and subtract the fractions:

(-5/6) + (-650/3) - (168/6)

To add and subtract fractions, they must have the same denominator, which they do now. Combine the fractions:

((-5 - 650 - 168)/6)

Now, perform the operations in the numerator:

(-823/6)

So, the simplified expression is -823/6.