Without using mathematical table or calculator simplify 3 4/9 ÷(5 1/3 _ 2 3/4) + 5 9/10​

Question

Without using mathematical table or calculator simplify 3 4/9 ÷(5 1/3 _ 2 3/4) + 5 9/10​

in progress 0
Neala 4 years 2021-08-27T08:56:23+00:00 2 Answers 33 views 0

Answers ( )

    0
    2021-08-27T08:58:05+00:00

    Answer:

    7 \frac{7}{30}

    Step-by-step explanation:

    3 \frac{4}{9} \div ( 5\frac{1}{3} - 2 \frac{3}{4}) + 5 \frac{9}{10}\\\\\frac{31}{9} \div (\frac{16}{3} - \frac{11}{4} ) + \frac{59}{10} \\\\\\Solving  \ using \ BODMAS\\\\First \ Solve \ expression \ inside \ Bracket \\\\\frac{31}{9} \div (\frac{(16 \times 4) - ( 11 \times 3)}{12}) + \frac{59}{10} \\\\\frac{31}{9} \div (\frac{64- 33)}{12}) + \frac{59}{10} \\\\\frac{31}{9} \div \frac{31}{12} + \frac{59}{10} \\\\\\ \\\\\\Next \  solve \ Dvision \\\\\frac{\frac{31}{9}}{\frac{31}{12}} + \frac{59}{10}\\\\

    (\frac{31}{9}} \times {\frac{12}{31}) + \frac{59}{10}

    \frac{4}{3} + \frac{59}{10}\\\\ Now \ solve \ final \ expression \\\\\\\frac{(4 \times 10) + ( 59 \times 3)}{30}\\\\\frac{40 + 177}{30}\\\\\frac{217}{30}\\\\7 \frac{7}{30}

    0
    2021-08-27T08:58:14+00:00

    Answer:

    { \tt{3 \frac{4}{9}  \div (5 \frac{1}{3} - 2 \frac{3}{4}) + 5 \frac{9}{10}   }} \\ \\   =  { \tt{ \frac{31}{9} \div ( \frac{16}{3} -  \frac{11}{4}  ) +  \frac{59}{10}  }} \\  \\ =  { \tt{ \frac{31}{9}  \div ( \frac{31}{12} ) +  \frac{59}{10} }} \\  \\ { \tt{ =  \frac{4}{3} +  \frac{59}{10}  }} \\  \\ { \bf{ =  \frac{217}{30} }} \\  \\ { \boxed{ \tt{answer : 7 \frac{7}{30} }}} \\  \\ { \underline{ \blue{ \tt{becker ⚜jnr}}}}

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