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3 1/2 - 2 2/3 =

 Mar 29, 2015

Best Answer 

 #1
avatar+20848 
+5

3 1/2 - 2 2/3 = ?

$$3 \frac12 - 2 \frac23 \\\\
=3 +\frac12 - 2 -\frac23 \\\\
=3-2 +\frac12-\frac23 \\\\
=1+\frac12-\frac23 \\\\
=1\cdot \frac22 \cdot \frac33 +\frac12\cdot\frac33- \frac23\cdot \frac22\\\\
=\frac{1\cdot 2 \cdot 3+ 1\cdot 3 - 2 \cdot 2}{2\cdot 3}\\\\
=\frac{6+3-4}{6}\\\\
=\frac{5}{6}$$

or

$$3 \frac12 - 2 \frac23 \\\\
=\frac{3\cdot2+1} {2}-\frac{2\cdot 3+2}{3}\\\\
=\frac{7} {2}-\frac{8}{3}\\\\
=\frac{3\cdot 7-2\cdot 8}{2\cdot 3}\\\\
=\frac{21-16}{6}\\\\
=\frac{5}{6}$$

.
 Mar 30, 2015
 #1
avatar+20848 
+5
Best Answer

3 1/2 - 2 2/3 = ?

$$3 \frac12 - 2 \frac23 \\\\
=3 +\frac12 - 2 -\frac23 \\\\
=3-2 +\frac12-\frac23 \\\\
=1+\frac12-\frac23 \\\\
=1\cdot \frac22 \cdot \frac33 +\frac12\cdot\frac33- \frac23\cdot \frac22\\\\
=\frac{1\cdot 2 \cdot 3+ 1\cdot 3 - 2 \cdot 2}{2\cdot 3}\\\\
=\frac{6+3-4}{6}\\\\
=\frac{5}{6}$$

or

$$3 \frac12 - 2 \frac23 \\\\
=\frac{3\cdot2+1} {2}-\frac{2\cdot 3+2}{3}\\\\
=\frac{7} {2}-\frac{8}{3}\\\\
=\frac{3\cdot 7-2\cdot 8}{2\cdot 3}\\\\
=\frac{21-16}{6}\\\\
=\frac{5}{6}$$

heureka Mar 30, 2015

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