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order 5/6 3/4 and 2/3

thumb  May 18, 2015

Best Answer 

 #1
avatar+4663 
+18

 

$$\\1)\;Look\;at\;the\;\textcolor[rgb]{1,0,0}{denominators}\;of\;the\;fractions:\qquad\quad\textcolor[rgb]{0,0,1}{3,\;4\;and\;6}\\\\
2)\;They\;are\;all\;factors\;of\;12\;so\;change\;each\;fraction\;(make\;\textcolor[rgb]{1,0,0}{equivalent}\;fractions)\;so\;the\;\textcolor[rgb]{1,0,0}{denominator\;is\;12}\qquad\quad\frac{5}{6}\;=\;\frac{10}{12}\;,\;\frac{3}{4}\;=\;\frac{9}{12}\;,\;\frac{2}{3}\;=\;\frac{8}{12}\\\\
3)\;Now\;order\;the\;fractions\;by\;comparing\;their\;\textcolor[rgb]{1,0,0}{numerators}.\qquad\quad\frac{8}{12}\;,\;\frac{9}{12}\;,\;\frac{10}{12}\\\\
4)\;Put\;the\;fractions\;back\;into\;their\;\textcolor[rgb]{1,0,0}{original form}.\qquad\quad\textcolor[rgb]{1,0,0}{\frac{2}{3}\;,\;\frac{3}{4}\;,\;\frac{5}{6}}$$

MathsGod1  May 18, 2015
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2+0 Answers

 #1
avatar+4663 
+18
Best Answer

 

$$\\1)\;Look\;at\;the\;\textcolor[rgb]{1,0,0}{denominators}\;of\;the\;fractions:\qquad\quad\textcolor[rgb]{0,0,1}{3,\;4\;and\;6}\\\\
2)\;They\;are\;all\;factors\;of\;12\;so\;change\;each\;fraction\;(make\;\textcolor[rgb]{1,0,0}{equivalent}\;fractions)\;so\;the\;\textcolor[rgb]{1,0,0}{denominator\;is\;12}\qquad\quad\frac{5}{6}\;=\;\frac{10}{12}\;,\;\frac{3}{4}\;=\;\frac{9}{12}\;,\;\frac{2}{3}\;=\;\frac{8}{12}\\\\
3)\;Now\;order\;the\;fractions\;by\;comparing\;their\;\textcolor[rgb]{1,0,0}{numerators}.\qquad\quad\frac{8}{12}\;,\;\frac{9}{12}\;,\;\frac{10}{12}\\\\
4)\;Put\;the\;fractions\;back\;into\;their\;\textcolor[rgb]{1,0,0}{original form}.\qquad\quad\textcolor[rgb]{1,0,0}{\frac{2}{3}\;,\;\frac{3}{4}\;,\;\frac{5}{6}}$$

MathsGod1  May 18, 2015
 #2
avatar+90988 
+5

This is a fabulous answer, thanks MathsGod1

Look at all your brilliant LaTex too   :)))

Melody  May 19, 2015

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