Final answer:
To solve 4 3/4 - (-1 1/2), we change the subtraction of a negative number into addition of a positive number, change the mixed numbers into improper fractions, add the fractions together, then change the answer back into a mixed number. So, the answer is 6 1/4.
Step-by-step explanation:
To solve the problem: 4 3/4 - (-1 1/2), we first need to understand that subtracting a negative number is equivalent to adding a positive number. Therefore, the problem simplifies to 4 3/4 + 1 1/2.
Step 1: Convert the mixed numbers into improper fractions. 4 3/4 becomes 19/4 and 1 1/2 becomes 3/2.
Step 2: Add the two fractions together. To do this, we first need a common denominator. The least common multiple of 4 and 2 is 4, so we convert 3/2 to 6/4.
Step 3: Add 19/4 and 6/4 to get 25/4.
Step 4: Convert the improper fraction back into a mixed number. 25/4 is equal to 6 1/4.
So, the answer to the problem 4 3/4 - (-1 1/2) is 6 1/4.
Learn more about Subtraction of Mixed Numbers