Question

Fill in the blanks using appropriate fractions:

$\_\_\_+\frac{5}{12}=\frac{7}{12}$

Answer 1

Step 1: Subtract $\frac{5}{12}$ from both sides of the given equation and simplify.

$\_\_\_+\frac{5}{12}-\frac{5}{12}=\frac{7}{12}-\frac{5}{12}$

$\_\_\_=\frac{7}{12}-\frac{5}{12}$

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

$$\begin{gathered} \_\_\_=\frac{7-5}{12} \\ \_\_\_=\frac{2}{12} \end{gathered}$$

Step 3: Divide both the numerator and denominator by the common factor $2$.

$$\begin{gathered} \_\_\_=\frac{2÷2}{12÷2} \\ \_\_\_=\frac{1}{6} \end{gathered}$$

Hence, the required number is $\frac{\mathbf{1}}{\mathbf{6}}$.