Question

3 5/9+(-2 1/4)-(-4 5/6)-5 2/3= плз

Answer 1

Ответ:

3 5/9+(-2 1/4)-(-4 5/6)-5 2/3=17/36

Пошаговое объяснение:

ответ 17/36

Answer 2

To solve the expression 3 5/9 + (-2 1/4) - (-4 5/6) - 5 2/3, you can follow these steps:

Step 1: Convert all mixed numbers to improper fractions.

3 5/9 = (9 * 3 + 5) / 9 = (27 + 5) / 9 = 32/9 -2 1/4 = (4 * (-2) + 1) / 4 = (-8 + 1) / 4 = -7/4 -4 5/6 = (6 * (-4) + 5) / 6 = (-24 + 5) / 6 = -19/6 5 2/3 = (3 * 5 + 2) / 3 = (15 + 2) / 3 = 17/3

Step 2: Plug these fractions back into the original expression and simplify:

32/9 + (-7/4) - (-19/6) - 17/3

Step 3: To subtract a negative number, you can add the positive version of that number. So, change -(-19/6) to +19/6:

32/9 + (-7/4) + 19/6 - 17/3

Step 4: Find a common denominator, which is 36 in this case, and convert all fractions to have this denominator:

(32/9) * (4/4) + (-7/4) * (9/9) + (19/6) * (6/6) - (17/3) * (12/12)

Step 5: Now, add or subtract the numerators:

(128/36) + (-63/36) + (114/36) - (204/36)

Step 6: Combine the numerators:

(128 - 63 + 114 - 204) / 36

Step 7: Perform the arithmetic operations in the numerator:

(128 - 63 + 114 - 204) = -25

Step 8: The result is the numerator over the common denominator:

-25/36

So, 3 5/9 + (-2 1/4) - (-4 5/6) - 5 2/3 = -25/36 in fraction form.