Question

Fill in the blanks:

$\_\_\_-\frac{1}{4}=\frac{1}{2}$

Answer 1

Step 1: Write all the fractions with the least common denominator (LCD), $4$.

$\_\_\_-\frac{1}{4}=\frac{1\times 2}{2\times 2}$

$\_\_\_-\frac{1}{4}=\frac{2}{4}$

Step 2: Transpose the fractions to the right side of the equation and solve for blank.

$\_\_\_=\frac{2}{4}+\frac{1}{4}$

Step 3: Perform the addition keeping the common denominator.

$$\begin{gathered} \_\_\_=\frac{2+1}{4} \\ \_\_\_=\frac{3}{4} \end{gathered}$$

Hence, the required number is $\frac{\mathbf{3}}{\mathbf{4}}$.