Question

Fill in the blanks:

$\_\_\_-\frac{2}{5}=\frac{3}{10}$

Answer 1

Step 1: Write all the fractions with the least common denominator (LCD), $10$.

$\_\_\_-\frac{2\times 2}{5\times 2}=\frac{3}{10}$

$\_\_\_-\frac{4}{10}=\frac{3}{10}$

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

$\_\_\_=\frac{3}{10}+\frac{4}{10}$

Step 3: Perform the addition keeping the common denominator.

$$\begin{gathered} \_\_\_=\frac{3+4}{10} \\ \_\_\_=\frac{7}{10} \end{gathered}$$

Hence, the required number is $\frac{\mathbf{7}}{\mathbf{10}}$.