Question

add the following 6/11 and -4/13​

Answer 1

$\frac{6}{11} + ( \frac{ - 4}{13} ) \\ \\ \frac{6}{11} - \frac{4}{13} \\ \\ \frac{78 - 44}{143} \\ \\ \frac{34}{143}$

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Answer 2

Answer :-

• The answer is 34/143.

Step-by-step explanation :-

• There are two methods to add rational numbers. Let's use both of them!

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First Method :-

$\longmapsto\sf\dfrac{6}{11} + \dfrac{( - 4)}{ \: \: 13}$

The LCM of 11 and 13 is 143, so adding the fractions using their denominators,

$\longmapsto\sf\dfrac{6 \times 13 + ( - 4) \times 11}{143}$

On simplifying,

$\longmapsto\sf\dfrac{78 + ( - 44)}{143}$

Adding -44 to 78,

$\longmapsto\sf \dfrac{34}{143}$

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Second Method :-

• Let's make the denominators of these fractions same!

The LCM of 11 and 13 is 143.

Hence,

$\implies\tt \dfrac{6}{11} = \dfrac{6 \times 13}{11 \times 13} = \dfrac{78}{143}$

$\implies \tt \dfrac{-4}{13} = \dfrac{ - 4 \times 11}{ \: \: 13 \times 11} = \dfrac{ - 44}{143}$

Now since the denominators of the fractions are same, therefore let's add them like normal integers!

$\implies\tt \dfrac{78 + ( - 44)}{143} = \dfrac{34}{143}$

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$\underline{ \boxed{ \rm Hence, the \: answer \: is \: \dfrac{34}{143}}}$