Question

find the sum rational answer
answer is 8 1/6 but I want correct method

please answer correct with method I will Mark answer brainliest.​​​​​

Answer 1

➤ Answer :-

${\tt \longrightarrow \dfrac{( - 9)}{2} + \bigg(\dfrac{( - 11)}{4} \bigg)}$

Convert them into like fractions by taking the LCM of the denominators i.e, 2 and 4

LCM of 2 and 4 is 4.

${\tt \longrightarrow \dfrac{( - 9) \times 2}{2 \times 2} + \bigg(\dfrac{( - 11)}{4} \bigg)}$

${\tt \longrightarrow \dfrac{( - 18)}{4} + \bigg(\dfrac{( - 11)}{4} \bigg)}$

${\tt \longrightarrow \dfrac{( - 18) + ( - 11)}{4} = \dfrac{( - 18) - 11}{4}}$

Here, we should subtract because when +ve and - ve signs are together, we should subtract the fractions.

${\tt \longrightarrow \dfrac{( - 29)}{4} = - 7 \dfrac{1}{4}}$

$\Huge\therefore$ The answer is ${\tt - 7 \dfrac{1}{4}}$

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More to know :-

• While adding or subtracting the fractions, if the given fractions are mixed fractions we should convert them into improper fractions by multiplying the denominator and whole number and then by adding the numerator.
• While adding or subtracting the fractions, if the given fractions are unlike fractions we should convert them into like fractions by taking the LCM of the denominators.
• While adding or subtracting the fractions, if the given fractions are like fractions we can solve them easily.

Answer 2

Answer:

-29/4

Step-by-step explanation:

Uhh....this is what i got

-9/2 + (-11/4)        [Given question]

Solving it:

= -9/2 - 11/4    [+ve and -ve results in -ve]

= (-9/2 x 2/2) - 11/4    [Since LCM is 4 and -11/4 is has 4 as denominator]

= -18/4 - 11/4

= -29/4       [The resulting number is the sum as -ve and -ve results as +ve]

This is how I got the answer as -29/4....

I see that tha denominator of the mixed fraction is 6...you can directly just multiple -9/2 with 2 to get 4 as denominator as directly solve it..

Hope this helps...