Question

Fill in the blanks using appropriate fractions:

$\frac{16}{5}-\_\_\_=\frac{7}{5}$

Answer 1

Step 1: Subtract $\frac{16}{5}$ from both sides of the given equation and simplify.

$\frac{16}{5}-\_\_\_-\frac{16}{5}=\frac{7}{5}-\frac{16}{5}$

$-\_\_\_=\frac{7}{5}-\frac{16}{5}$

Step 2: Subtract the numerators and write the difference over the common denominator.

$$\begin{gathered} -\_\_\_=\frac{7-16}{5} \\ -\_\_\_=-\frac{9}{5} \end{gathered}$$

Step 3: Multiply both sides of the equation by $-1$.

$\_\_\_=\frac{9}{5}$

Hence, the required number is $\frac{\mathbf{9}}{\mathbf{5}}$.