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Sagot :
Given
[tex]\frac{3}{4}+\frac{1}{6}\div\frac{2}{5}[/tex]To evaluate to its simplest form.
Explanation:
It is given that,
[tex]\frac{3}{4}+\frac{1}{6}\div\frac{2}{5}[/tex]By using the rule of BODMAS,
[tex]\begin{gathered} \frac{3}{4}+\frac{1}{6}\div\frac{2}{5}=\frac{3}{4}+(\frac{1}{6}\times\frac{5}{2}) \\ =\frac{3}{4}+\frac{5}{12} \end{gathered}[/tex]Taking LCM for 4 and 12 implies,
[tex]LCM=12[/tex]Then,
[tex]\begin{gathered} \frac{3}{4}+\frac{1}{6}\div\frac{2}{5}=\frac{3}{4}+\frac{5}{12} \\ =\frac{3\times3+5}{12} \\ =\frac{9+5}{12} \\ =\frac{14}{12} \\ =\frac{7}{6} \\ =\frac{6}{6}+\frac{1}{6} \\ =1\frac{1}{6} \end{gathered}[/tex]Hence, the simplest form is
[tex]1\frac{1}{6}.[/tex]
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