Question

(-2 1/8)×(-1 29/51)+(-1 23/42)×3 1/13-(-4 2/3)×6​

Answer 1

Ответ:

Пошаговое объяснение:

-2 1/8*(-1 29/51)=-17/8*(-80/51)=10/3=

3 1/3

-1 23/42*3 1/13=-65/42*40/13=-100/21=

-4 16/21

-4 2/3*6=-14/3*6=-28

3 1/3+(-4 16/21)=3 7/21-4 16/21=-1 3/7

-1 3/7-(-28)=-1 3/7+28=26 4/7

Answer 2

To simplify the expression, let's first convert all the mixed numbers into improper fractions. Then, we can perform the operations step by step.

1. Convert the mixed numbers into improper fractions: -2 1/8 = -17/8 -1 29/51 = -80/51 -1 23/42 = -65/42 -4 2/3 = -14/3

Now, the expression becomes:

(-17/8) × (-80/51) + (-65/42) × (3 1/13) - (-14/3) × 6

2. Perform multiplication: (-17/8) × (-80/51) = 1360/408 = 85/51 (You can simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 4 in this case).

   (-65/42) × (3 1/13) = (-65/42) × (40/13) = -2600/546 = -100/39 (Again, simplify the fraction).

   (-14/3) × 6 = -84/3 = -28

Now, the expression becomes:

(85/51) + (-100/39) - (-28)

3. Perform addition and subtraction: To add fractions, we need a common denominator. The least common multiple (LCM) of 51 and 39 is 663. So, let's convert all fractions to have a denominator of 663.

(85/51) = (85/51) * (13/13) = 1105/663 (-100/39) = (-100/39) * (17/17) = -1700/663

Now, the expression becomes:

(1105/663) - (1700/663) - (-28)

Next, subtract the fractions:

(1105/663) - (1700/663) = (1105 - 1700) / 663 = -595/663 (Once again, simplify the fraction).

Finally, simplify the whole expression:

-595/663 - (-28)

To subtract a negative number, we change it to addition:

-595/663 + 28

Now, to add these fractions, we need to find a common denominator. The LCM of 663 and 1 is simply 663.

(-595/663) + (28/1) = (-595/663) * (1/1) + (28/1) * (663/663) = -595/663 + 18444/663

Now, the fractions have a common denominator, so we can add them:

-595/663 + 18444/663 = (17849/663)

Thus, the simplified expression is:

17849/663 or approximately 26.9 (rounded to one decimal place).