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avatar+1310 

Express $3.\bar{7}$ as a common fraction.

 May 25, 2015

Best Answer 

 #2
avatar+26376 
+5

Express $3.\bar{7}$ as a common fraction.

 

$$\left\begin{array}{rcl}
10 \times 3.\overline{7} &=& 37.\overline{7} \\
1 \times 3.\overline{7} &=& 3.\overline{7} \\
\hline
\end{array} \right\} -$$

 

$$\begin{array}{rcl}
(10-1)\times 3.\overline{7} &=& 37.\overline{7} - 3.\overline{7} \\
9 \times 3.\overline{7} &=& 34 \\
9 \times 3.\overline{7} &=& 34 \qquad | \qquad : 9 \\
3.\overline{7} &=& \dfrac{34}{9}
\end{array}$$

 May 26, 2015
 #1
avatar+128731 
+6

3.7777......  =  3 + 77/99  = 3 +7/9  = 34/9

 

 

 

I edited this one for a previous mistake......!!!!

 May 25, 2015
 #2
avatar+26376 
+5
Best Answer

Express $3.\bar{7}$ as a common fraction.

 

$$\left\begin{array}{rcl}
10 \times 3.\overline{7} &=& 37.\overline{7} \\
1 \times 3.\overline{7} &=& 3.\overline{7} \\
\hline
\end{array} \right\} -$$

 

$$\begin{array}{rcl}
(10-1)\times 3.\overline{7} &=& 37.\overline{7} - 3.\overline{7} \\
9 \times 3.\overline{7} &=& 34 \\
9 \times 3.\overline{7} &=& 34 \qquad | \qquad : 9 \\
3.\overline{7} &=& \dfrac{34}{9}
\end{array}$$

heureka May 26, 2015

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