Question

Fill in the blanks:

$2\frac{1}{5}-\_\_\_=1\frac{2}{5}$

Answer 1

Step 1: Write the mixed number as an improper fraction.

$\frac{\left(5\times 2\right)+1}{5}-\_\_\_=\frac{\left(5\times 1\right)+2}{5}$

$\frac{11}{5}-\_\_\_=\frac{7}{5}$

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

$\frac{11}{5}-\frac{7}{5}=\_\_\_$

Step 4: Perform the subtraction keeping the common denominator.

$\frac{11-7}{5}=\_\_\_$

$\frac{4}{5}=\_\_\_$

Hence, the required number is $\frac{\mathbf{4}}{\mathbf{5}}$.