-4 3/4 +-5 4/8
To add or subtract these two mixed numbers, we first need to convert them to improper fractions.
-4 3/4 = -4 6/8 (converting 3/4 to 6/8)
-4 6/8 + -5 4/8 = (-4 - 5) + (6/8 - 4/8)
= -9 + (6 - 4)/8
= -9 + 2/8
= -9 + 1/4 (converting 2/8 to 1/4)
Therefore, -4 3/4 ± -5 4/8 = -9 1/4.
To simplify the expression (-4 3/4) ± (-5 4/8), we can follow these steps:
Step 1: Convert mixed numbers to improper fractions:
-4 3/4 = -4 + 3/4 = -16/4 + 3/4 = -19/4
-5 4/8 = -5 + 4/8 = -40/8 + 4/8 = -44/8
Step 2: Simplify the expression:
-19/4 ± (-44/8)
Step 3: Find a common denominator:
The common denominator of 4 and 8 is 8.
Step 4: Adjust the numerators:
-19/4 = -38/8
-44/8 = -44/8
Step 5: Perform the operation:
-38/8 ± (-44/8) = -38/8 - 44/8 = (-38 - 44)/8 = -82/8
Step 6: Simplify the result:
-82/8 = -41/4
Therefore, (-4 3/4) ± (-5 4/8) simplifies to -41/4.