Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Evaluate. 3/4 + 1/6 / 2/5Write your answer in simplest form.

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]

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.