To evaluate the value of a stock after an increase of \( \frac{1}{4} \), you'll first determine what the increase represents in terms of the stock's dollar value.
Given that the stock is worth \( 11.50 \):
- Calculate the increase:
- Start by expressing \( \frac{1}{4} \) of the stock's current value.
- This can be done by multiplying \( 11.50 \) by \( \frac{1}{4} \):
\[ \text{Increase} = 11.50 \times \frac{1}{4} \]
\[ \text{Increase} = \frac{11.50}{4} = 2.875 \]
- Add the increase to the original value:
Now, you can write an addition expression to find the new value of the stock after the increase:
\[ \text{New Value} = 11.50 + 2.875 \]
- Evaluate the expression:
\[ \text{New Value} = 11.50 + 2.875 = 14.375 \]
Thus, the stock is worth \( 14.375 \) after the increase of \( \frac{1}{4} \) of its original value.
How to know you have the correct expression:
- Identify the original stock value: Knowing that the original stock value is \( 11.50 \).
- Determine the appropriate fraction for the increase: Here, we need to find \( \frac{1}{4} \) of that value.
- Write the addition expression: Combine the original stock value with the calculated increase to find the new total.
- Mathematical integrity: The process involves basic arithmetic operations, and since we ensured to multiply by \( \frac{1}{4} \) correctly, our method is sound.
Finally, checking your answer with different methods (like converting to improper fractions or decimals, where applicable) can also help verify correctness.
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