Find the Opposite Number: Converting 7¼ to Its Negative Form

Convert $7\frac{1}{4}$into its reciprocal form:

To find the opposite number of $7\frac{1}{4}$ in the form of a reciprocal, follow these steps:

• Step 1: Convert the mixed number $7\frac{1}{4}$ into an improper fraction.

  This involves multiplying the whole number $7$ by the denominator $4$ and adding the numerator $1$:

  $7 \times 4 + 1 = 28 + 1 = 29$

  This gives us the improper fraction $\frac{29}{4}$.

• Step 2: Find the reciprocal of $\frac{29}{4}$.

  The reciprocal of a fraction $\frac{a}{b}$ is $\frac{b}{a}$:

  $\text{Reciprocal of } \frac{29}{4} = \frac{4}{29}$

Therefore, the opposite number of $7\frac{1}{4}$ in terms of a reciprocal is $\frac{4}{29}$.

The correct answer is $\frac{4}{29}$, which corresponds to choice 2.