Solve using inverse operations.

Question

c- 1/4=2


A
2 142\ \frac{1}{4}2
4
1
​


B
34\frac{3}{4}
4
3
​


C
1 341\ \frac{3}{4}1
4
3
​


D
−2 14-2\ \frac{1}{4}−2
4
1
​

Answer 1

To solve the equation \( c - \frac{1}{4} = 2 \) using inverse operations, we need to isolate \( c \).

1. Start with the equation: \[ c - \frac{1}{4} = 2 \]

2. Add \( \frac{1}{4} \) to both sides of the equation to isolate \( c \): \[ c = 2 + \frac{1}{4} \]

3. To add \( 2 \) and \( \frac{1}{4} \), we can convert \( 2 \) to a fraction: \[ 2 = \frac{8}{4} \quad \text{(since } 2 \times 4 = 8\text{)} \]

4. Now add: \[ c = \frac{8}{4} + \frac{1}{4} = \frac{8 + 1}{4} = \frac{9}{4} \]

5. We can convert \( \frac{9}{4} \) into a mixed number: \[ \frac{9}{4} = 2 \frac{1}{4} \]

Thus, \( c = 2 \frac{1}{4} \).

The final solution is: A. \( 2 \frac{1}{4} \)