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pls help asap i'll mark brainiest if its correct, 80 points.

Pls Help Asap Ill Mark Brainiest If Its Correct 80 Points class=

Sagot :

Answer:

[tex]\frac{16}{3}[/tex] or [tex]5\frac{1}{3}[/tex]

Step-by-step explanation:

Given :

[tex]2\frac{1}{3} -\frac{1}{2} \div \frac{3}{4} + 3\frac{2}{3}[/tex]

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Rewrite in improper fraction form :

[tex](\frac{6}{3} +\frac{1}{3}) -\frac{1}{2} \div \frac{3}{4} + (\frac{9}{3} +\frac{2}{3})[/tex]

[tex]\frac{7}{3} - \frac{1}{2} \div \frac{3}{4} + \frac{11}{3}[/tex]

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Finding the common denominator :

⇒ 3 × 4

⇒ LCM = 12

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Solving with 12 as LCM :

⇒ [tex]\frac{7\times 4}{3 \times4} - \frac{1\times6}{2\times6} \div \frac{3\times3}{4\times3} + \frac{11\times4}{3\times4}[/tex]

⇒ [tex]\frac{28}{12} - \frac{6}{12} \div \frac{9}{12} + \frac{44}{12}[/tex]

⇒ [tex]\frac{28}{12} - \frac{2}{3} + \frac{44}{12}[/tex] [Division takes place first]

⇒ [tex]\frac{28}{12} - \frac{8}{12} + \frac{44}{12}[/tex]

⇒ [tex]\frac{28}{12} + \frac{36}{12}[/tex]

⇒ [tex]\frac{64}{12}[/tex]

⇒ [tex]\frac{16}{3}[/tex] or [tex]5\frac{1}{3}[/tex]

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