[tex]Using \: appropriate \: properties \: of \: addition \: ,Find \: the \: \\ following​\ \textless \ br /\ \textgreate

[tex]Using \: appropriate \: properties \: of \: addition \: ,Find \: the \: \\ following​\ \textless \ br /\ \textgreater \ [/tex]

[tex]ii) \: \frac{3}{7} + \frac{4}{9} + \frac{ – 5}{21} + \frac{2}{3} [/tex]

[tex]Need \: correct \: answers \: ❤️\ \textless \ br /\ \textgreater \ Don’t \: spam [/tex]

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Alice

2 thoughts on “<br />[tex]Using \: appropriate \: properties \: of \: addition \: ,Find \: the \: \\ following​\ \textless \ br /\ \textgreate”

  1. [tex]\large\underline\mathfrak\red{Question \: :- }[/tex]

    [tex]\sf{ \frac{3}{7} + \frac{4}{9} + \frac{ – 5}{21} + \frac{2}{3} } \\ [/tex]

    [tex]\large\underline\mathfrak\red{Answer \: :- }[/tex]

    You have to know,

    • When we add two fraction always remember it, first we have to cross multiply with numerator into denominator and denominator into numerator, and also multiply denominator into denominator

    Required

    First we add

    [tex]\sf{ \frac{3}{7} + \frac{4}{9} } \\ [/tex]

    Adding

    [tex]\sf\implies{ \frac{(3 \times 9) + (7 \times 4)}{7 \times 9} } \\ \sf\implies{ \frac{27 + 28}{63} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf\implies{ \frac{55}{63} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

    Now adding

    [tex]\sf{ \frac{55}{63} + \frac{ – 5}{21} } \\ [/tex]

    [tex]\sf\implies{ \frac{(55 \times 21) + (63 \times – 5)}{63 \times 21} } \\ \sf\implies{ \frac{1155 + ( – 315)}{1323} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf\implies{ \frac{840}{1323} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf\implies{ \frac{120}{189} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf\implies{ \frac{40}{63} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

    Now

    [tex]\sf{ \frac{40}{63} + \frac{2}{ 3} } \\ [/tex]

    [tex]\sf\implies{ \frac{(40 \times 3) + (63 \times 2)}{6 3 \times 3} } \\ \sf\implies{ \frac{120 + 126}{189} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf\implies{ \frac{246}{189} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf\implies{ \frac{82}{63} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ [/tex]

    Answer : 82/63.

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