Solve using inverse operations.

Question

c - 1/4=2


A
1 341\ \frac{3}{4}1
4
3
​


B
2 142\ \frac{1}{4}2
4
1
​


C
34\frac{3}{4}
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 can add \( \frac{1}{4} \) to both sides to isolate \( c \):

\[ c - \frac{1}{4} + \frac{1}{4} = 2 + \frac{1}{4} \]

This simplifies to:

\[ c = 2 + \frac{1}{4} \]

To add the two numbers on the right, we can convert \( 2 \) into a fraction with a denominator of \( 4 \):

\[ 2 = \frac{8}{4} \]

Now we can combine the fractions:

\[ c = \frac{8}{4} + \frac{1}{4} = \frac{8 + 1}{4} = \frac{9}{4} \]

Thus, \( c = \frac{9}{4} \) or \( 2\frac{1}{4} \) in mixed number form.

Looking at the options:

• A. \(1 \frac{3}{4}\)
• B. \(2 \frac{1}{4}\) (This is the correct answer)
• C. \(3 \frac{4}{3}\)
• D. \(-2 \frac{1}{4}\)

Therefore, the correct answer is B \(2 \frac{1}{4}\).