Question

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

$ii) \: \frac{3}{7} + \frac{4}{9} + \frac{ - 5}{21} + \frac{2}{3}$

$Need \: correct \: answers \: ❤️\ \textless \ br /\ \textgreater \ Don't \: spam$
​

Answer 1

Answer:

ye baat to sahi boli ap

Step-by-step explanation:

your intro please

Answer 2

$\large\underline\mathfrak\red{Question \: :- }$

$\sf{ \frac{3}{7} + \frac{4}{9} + \frac{ - 5}{21} + \frac{2}{3} }$

$\large\underline\mathfrak\red{Answer \: :- }$

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

$\sf{ \frac{3}{7} + \frac{4}{9} }$

Adding

$\sf\implies{ \frac{(3 \times 9) + (7 \times 4)}{7 \times 9} } \\ \sf\implies{ \frac{27 + 28}{63} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf\implies{ \frac{55}{63} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Now adding

$\sf{ \frac{55}{63} + \frac{ - 5}{21} }$

$\sf\implies{ \frac{(55 \times 21) + (63 \times - 5)}{63 \times 21} } \\ \sf\implies{ \frac{1155 + ( - 315)}{1323} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf\implies{ \frac{840}{1323} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf\implies{ \frac{120}{189} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf\implies{ \frac{40}{63} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Now

$\sf{ \frac{40}{63} + \frac{2}{ 3} }$

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

Answer : 82/63.

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