To evaluate the expression -4 ÷ (1/4) + 1 1/2, follow these steps:
- Rewrite the mixed number: Convert 1 1/2 into an improper fraction:
- 1 1/2 = 1 + 1/2 = 2/2 + 1/2 = 3/2
- Divide -4 by 1/4: Division by a fraction is the same as multiplying by its reciprocal:
- -4 ÷ (1/4) = -4 × (4/1) = -16
- Add -16 to 3/2: Now we need to add -16 (which can be expressed as -16/1) to 3/2:
- To add these fractions, we first need a common denominator. The common denominator for 1 and 2 is 2:
- -16/1 = -32/2 (multiply numerator and denominator by 2)
- Now, we can add:
- -32/2 + 3/2 = (-32 + 3)/2 = -29/2
- Final Result: Therefore, the final result of the expression is:
- -29/2
- This is an improper fraction. To convert it to a mixed number:
- -29/2 = -14 1/2 (since 29 divided by 2 is 14 remainder 1)
Final Answer: -14 1/2