A) -3/8 + 5/6
To add these fractions, we need to have a common denominator. The least common multiple of 8 and 6 is 24.
-3/8 = -9/25/6 = 20/24
Now, we can add the fractions:
-9/24 + 20/24 = (20 - 9) / 24 = 11/24
So, -3/8 + 5/6 = 11/24
B) -3 5/9 - 2 7/18
To subtract these mixed numbers, we need to convert them to improper fractions first.
-3 5/9 = -3 9 + 5 / 9 = -27 + 5 / 9 = -22/-2 7/18 = -2 18 + 7 / 18 = -36 + 7 / 18 = -29/18
Now, we can subtract the improper fractions:
-22/9 - 29/18
To subtract fractions we need a common denominator. The least common multiple of 9 and 18 is 18.
-22/9 = -44/1-29/18 = -29/18
Now, we can subtract the fractions:
-44/18 - 29/18 = (-44 - 29) / 18 = -73/18
Therefore, -3 5/9 - 2 7/18 = -73/18.
A) -3/8 + 5/6
To add these fractions, we need to have a common denominator. The least common multiple of 8 and 6 is 24.
-3/8 = -9/2
5/6 = 20/24
Now, we can add the fractions:
-9/24 + 20/24 = (20 - 9) / 24 = 11/24
So, -3/8 + 5/6 = 11/24
B) -3 5/9 - 2 7/18
To subtract these mixed numbers, we need to convert them to improper fractions first.
-3 5/9 = -3 9 + 5 / 9 = -27 + 5 / 9 = -22/
-2 7/18 = -2 18 + 7 / 18 = -36 + 7 / 18 = -29/18
Now, we can subtract the improper fractions:
-22/9 - 29/18
To subtract fractions we need a common denominator. The least common multiple of 9 and 18 is 18.
-22/9 = -44/1
-29/18 = -29/18
Now, we can subtract the fractions:
-44/18 - 29/18 = (-44 - 29) / 18 = -73/18
Therefore, -3 5/9 - 2 7/18 = -73/18.