Question

( -3,8 +2 1/(2 ))*(-1 7/8)+ 41/6 ∶( -1 2/3​

Answer 1

Ответ:

(-3,8+21/2)*(-1 7/8)+41/6 - 12/3

преобразовать выражение

(-19/5+21/2)*(-15/8)+41/6-12/3

Вычислить

67*(-15/8)+41/6-12/3

Вычислить сократить дробь

-67/2*3/8+41/6-12/3

Вычислить

-201/16+41/6-12/3

Вычислить

-467/48

решение

Объяснение:

Answer 2

Let's break down the expression step by step:

( -3,8 + 2 1/(2) ) * (-1 7/8) + 41/6 : ( -1 2/3)

First, let's simplify the expression within the parentheses:

-3,8 + 2 1/(2) = -3.8 + 2.5 = -1.3

Now we have:

(-1.3) * (-1 7/8) + 41/6 : ( -1 2/3)

Next, let's convert the mixed numbers into improper fractions:

-1 7/8 = -15/8 -1 2/3 = -5/3

Substituting the fractions back into the expression:

(-1.3) * (-15/8) + 41/6 : (-5/3)

To simplify further, let's perform the multiplication and division operations separately:

(-1.3) * (-15/8) = 19.5/8

Now we have:

(19.5/8) + 41/6 : (-5/3)

To divide fractions, we multiply by the reciprocal:

(19.5/8) + 41/6 * (-3/5)

Now we can simplify the expression:

(19.5/8) + (41/6) * (-3/5) = (19.5/8) + (41/6) * (-3/5)

Multiplying the fractions:

(19.5/8) + (41/6) * (-3/5) = (19.5/8) + (-123/30)

To add fractions, we need a common denominator:

(19.5/8) + (-123/30) = (19.5 * 15/8 * 15) + (-123 * 4/30 * 4)

Simplifying the numerators:

(292.5/120) + (-492/120)

Now we can add the fractions:

(292.5/120) + (-492/120) = (292.5 - 492)/120 = -199.5/120

Finally, we can simplify the fraction:

-199.5/120 = -399/240 = -133/80

Therefore, the result of the expression is -133/80.