Question

4 2/3 -54 2/3 - 3 5/9+7/12​

Answer 1

Пошаговое объяснение:

4 2/3 -54 2/3 - 3 5/9+7/12=

1) 4 2/3 -54 2/3 = - 54+4+( 2/3-2/3)= -50

2) -50 -3 5/9= -53 5/9

3) -53 5/9 +7/12= - 53 20/36 + 21/36= -52 56/36 +21/36= -52 35/36

Answer 2

To simplify the given expression, let's convert all mixed numbers into improper fractions and then perform the arithmetic operations.

4 2/3 can be written as (4 * 3 + 2) / 3 = 14/3

-54 2/3 can be written as (-54 * 3 + 2) / 3 = (-162 + 2) / 3 = -160/3

3 5/9 can be written as (3 * 9 + 5) / 9 = 32/9

Now, let's perform the calculations:

14/3 - 160/3 - 32/9 + 7/12

To combine the fractions, we need a common denominator. The least common multiple of 3, 9, and 12 is 36. Let's convert all fractions to have a denominator of 36.

14/3 = (14 * 12) / (3 * 12) = 168/36 -160/3 = (-160 * 12) / (3 * 12) = -1920/36 32/9 = (32 * 4) / (9 * 4) = 128/36 7/12 = (7 * 3) / (12 * 3) = 21/36

Now we can combine the fractions:

168/36 - 1920/36 - 128/36 + 21/36

When the fractions have the same denominator, we can add or subtract their numerators:

(168 - 1920 - 128 + 21) / 36

= (-1859) / 36

Therefore, the simplified result of the expression 4 2/3 -54 2/3 - 3 5/9 + 7/12 is -1859/36.