Question

the sum of two rational numbers is 5/13.if one number is 1/5. find the other​

Answer 1

Solution

Let the other no be x

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According to the question

$\frac{1}{5} + x = \frac{5}{13}$

$= > x = \frac{5}{13} - \frac{1}{5 }$

$= > x = \frac{5 \times 5}{13 \times 5} - \frac{1 \times 13}{5 \times 13}$

[LCM of both the no. is 65]

$= > x = \frac{25 - 13}{65}$

$= > x = \frac{12}{65}$

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Verification

To verify it let LHS = RHS

$= > \frac{5}{13} - \frac{12}{65} = \frac{1}{5}$

$= > \frac{25 - 12}{65} = \frac{1}{5}$

=$\frac{13}{65} =\frac{1}{5}$\\$\dfrac{\cancel{13}}{\cancel{65}}=\frac{1}{5}$

Hence, verified LHS = RHS

Answer 2

ANSWER:

given

sum of two rationals

$= \dfrac{5}{13}$

one rational is given as

$\dfrac{1}{5}$

REQUIRED TO FIND:

the other rational

METHOD:

in the attachment

BRIEF EXPLANATION:

→They have given that sum is 5/13

→one of them is 1/5

→let the other be x

→sum of x and 1/5 can be equated to 5/13

→Then after solving we get the value of x

→the equation getting will be

$x + \dfrac{1}{5} = \dfrac{5}{13}$