add the following rational numbers 5/8 -7/12 plz send me answer Fast and step by step explanation​

Question

add the following rational numbers 5/8 -7/12 plz send me answer Fast and step by step explanation​

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Iris 1 week 2021-11-19T18:15:53+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-19T18:16:56+00:00

    Answer :

    \huge{\boxed{\tt{ \dfrac{1}{24}}}}

    Explanation :

    \tt{ \dfrac{5}{8} (+) \dfrac{-7}{12}}

    For the addition of two fractions ; denominators must be same

    Here the denominator isn’t same ; so we will take the LCM

    Taking the LCM will make the denominator same

    \tt{ LCM :-}

    \tt{ \dfrac{5}{8} and \dfrac{-7}{12}}

    __________

    2|_8 ,12___

    2|_4, 6__

    2|_2,3__

    2|__1 , 3_

    3| 1, 1

    So , the LCM is => 24

    _____________

    When the denominators are same ; the numerators will also change.

    \tt{ \dfrac{5}{8} \times \dfrac{?}{?} \implies \dfrac {?}{24}}

    So , what number when multiplied by 8 gives 24 ?

    The number is 3 ; so we will multiply 3 with both the numerator and denominator .

    \tt{ \dfrac{5}{8} \times \dfrac{3}{3} \implies \dfrac{15}{24}}

    \tt{\dfrac{-7}{12} \times \dfrac{2}{2} \implies \dfrac{-14}{24}}

    The same rule of the number which when multiplied by 12 gives 24 is followed with both the numerator and denominator.

    So , finally we have got 2 numbers with same denominators.

    Now it will be easy to add them.

    \tt{ \dfrac{15}{24} (+) \dfrac{-14}{24}}

    \tt{ \dfrac{15 + (-14)}{24}}

    \tt{ \dfrac{15 - 14}{24}}

    \large{\boxed{\tt{ \dfrac{1}{24}}}}

    0
    2021-11-19T18:17:31+00:00

    Step-by-step explanation:

    iska solutions to main send Kiya that

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14:4+1-6*5-7*14:3+5 = ? ( )