Question

2/9 + (-5/6) 3 5/7 + ( -4 3/14)

Answer 1

Ответ:

Пошаговое объяснение:

= 2/9 - 5/6 = 8/36 - 30/36 = -22/36 = -11/18

= 3 5/7 - 4 3/14 = 3 10/14 - 4 3/14 = 3 10/14 - 3 17/14 = -7/14 = -1/2

Answer 2

To add or subtract fractions, you first need to find a common denominator. Let's break this down step by step:

1. Add 2/9 and -5/6: To find a common denominator, you can multiply the denominators together, which is 9 * 6 = 54. Then, you can rewrite each fraction with this common denominator:

   (2/9) = (2/9) * (6/6) = 12/54 (-5/6) = (-5/6) * (9/9) = -45/54

   Now, you can add them together:

   (12/54) + (-45/54) = (12 - 45) / 54 = -33/54

2. Add 3 5/7 and -4 3/14: First, convert the mixed numbers to improper fractions:

   3 5/7 = 22/7 (improper fraction) -4 3/14 = -57/14 (improper fraction)

   Now, add them together:

   (22/7) + (-57/14)

   To add these fractions, you need to find a common denominator. The least common multiple of 7 and 14 is 14, so rewrite both fractions with a denominator of 14:

   (22/7) * (2/2) = 44/14 (-57/14) * (1/1) = -57/14

   Now, you can add them:

   (44/14) + (-57/14) = (44 - 57) / 14 = -13/14

So, the result of the addition is:

-33/54 + (-13/14)

To add these two fractions, you should first find a common denominator, which is 54. Then rewrite -13/14 with a denominator of 54:

(-13/14) * (27/27) = -351/54

Now you can add them:

(-33/54) + (-351/54) = (-33 - 351) / 54 = -384/54

You can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 6:

(-384/54) ÷ 6 = -64/9

So, the final result is:

-64/9