Order of Operations help

[kannatoj]

please show me how to do this step by step for all questions, i have never done this before it is my first post!

 

[tkhunny]

Yes, do it "step by step".

[math]\dfrac{5}{8} + \dfrac{3}{8} = [/math]??

Whatever that is less 3/4.

[math]\dfrac{\dfrac{2}{5}}{\dfrac{1}{8}} = \dfrac{2}{5}\cdot\dfrac{8}{1} = [/math]??

Continue...

 

[kannatoj]

sorry i dont understand...?

 

[Dr.Peterson]

please show me how to do this step by step for all questions, i have never done this before it is my first post!

View attachment 24050

The fractions make these harder to do, but the order of operations is the same as if they were, say, [MATH](5 + 4 - 2)\times(6\div 2)[/MATH]. Are you able to evaluate that expression? Then do the same operations, in the same order, for your problem #1.

Show us whatever you can, even if you think it's wrong, and we will be able to see where you need help, and provide it.

Keep this in mind:

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[Steven G]

sorry i dont understand...?

What do you not understand? Are you saying that you do not know how to add [math]\dfrac{5}{8} + \dfrac{3}{8}[/math]??

Since the denominators are the same (they are both 8) you add the numerators and divide that result by 8. Simplify if possible.

 

[Otis]

… show me how to do this step by step …

Hi kannatoj. I'll post a similar, worked example. You haven't told us what you already know about Order of Operations and doing arithmetic with fractions, so I don't know which steps you need explained. If you have specific questions about the example below, then please post them.

\[\frac{13}{20} \div \bigg(\bigg(\frac{2}{9} - \frac{3}{4} + \frac{5}{4}\bigg) \times \frac{1}{5}\bigg)\]

\[\frac{13}{20} \div \bigg(\bigg(\frac{8}{36} - \frac{27}{36} + \frac{45}{36}\bigg) \times \frac{1}{5}\bigg)\]

\[\frac{13}{20} \div \bigg(\bigg(\frac{8 - 27 + 45}{36}\bigg) \times \frac{1}{5}\bigg)\]

\[\frac{13}{20} \div \bigg(\bigg(\frac{26}{36}\bigg) \times \frac{1}{5}\bigg)\]

\[\frac{13}{20} \div \bigg(\bigg(\frac{\cancel{26}^{13}}{\cancel{36}_{18}}\bigg) \times \frac{1}{5}\bigg)\]


\[\frac{13}{20} \div \bigg(\frac{13}{18} \times \frac{1}{5}\bigg)\]

\[\frac{13}{20} \div \bigg(\frac{13 \times 1}{18 \times 5}\bigg)\]

\[\frac{13}{20} \div \frac{13}{90}\]

\[\frac{13}{20} \times \frac{90}{13}\]

\[\frac{\cancel{13}^{1}}{\cancel{20}_{2}} \times \frac{\cancel{90}^{9}}{\cancel{13}_{1}}\]

\[\frac{1 \times 9}{2 \times 1}\]

\[\frac{9}{2}\]

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