Question

The sum of two rational number is 6/7. If one of the number is 1/14. Find the other number​

Answer 1

Step-by-step explanation:

Let the required number be x. Then,

=(5/7)+x=(4/21)

By sending (5/7) from left hand side to the right hand side it change to −(5/7)

x=(4/21)−(5/7)

LCM of 21 and 7 is 21

Express each of the given rational numbers with the above LCM as the common denominator.

Now,

(21×1)

(4×1)

=

21

4

=

(7×3)

(5×3)

=

21

15

Then,

=(4/21)−(15/21)

=(4−15)/21

=(−11/21)

Hence the required number is (−11/21)

Answer 2

To find  : missing rational number .

Given : sum of two rational number is $\frac{6}{7}$. One of the number is $\frac{1}{4}$ .

Solution :

• Let , missing rational number be $x$ .
• As per given data we know that  sum of two rational number is $\frac{6}{7}$ . One of the number is $\frac{1}{4}$ .
• Thus , we represent given condition as ,  $x + \frac{1}{4} =\frac{6}{7}$
• By leaving variable at LHS and transposing constant at RHS we find value of missing rational number .  

• Thus , $x + \frac{1}{4} =\frac{6}{7}$  

                  $x =\frac{6}{7} -\frac{1}{4} \\x =\frac{24- 7}{28} \\x = \frac{17}{28}$

Hence, missing rational number is $\frac{17}{28}$ .