Question

What must be added to 2 4/7 to get 21 5/4

Answer 1

To find : What must be added to $2 \frac{4}{7}$  to get  $21\frac{5}{4}$

Solution :

• Let , number to be added be $x$ .
• According to question we write given condition as , $x + 2\frac{4}{7} = 21\frac{5}{4}$
• Here, we will use the below following steps to find a solution using the transposition method:

1. We will Identify the variables and constants in the given equation.
2. Then we differentiate the equation as LHS and RHS.
3. We take constants at RHS leaving variable at LHS.  
4. Simplify the equation using arithmetic operation as required to find the value of $x$ .
5. Then the result will be the solution for the given linear equation. By using the transposition method. we get,

• $x + 2\frac{4}{7} = 21\frac{5}{4}$  

    $\Rightarrow x =\frac{89}{4} - \frac{18}{7} \\\\\Rightarrow x = \frac{623- 72}{28}\\ \\\Rightarrow x = \frac{551}{28} \\ \ \Rightarrow x = 19\frac{19}{28}$

Hence , $19\frac{19}{28}$ must be added to get  $21\frac{5}{4}$ .